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ORCIDR. K. Mohanty 0001
Ranjan Kumar Mohanty
Person information
- affiliation: Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, India
Other persons with the same name
- R. K. Mohanty 0002
![[0000-0002-4890-1540]](https://dblp.uni-trier.de./img/orcid-mark.12x12.png "0000-0002-4890-1540")
— Vellore Institute of Technology, Vellore, India - R. K. Mohanty 0003 — South Asian University, Department of Mathematics, New Delhi, India
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Journal Articles
- 2024
[j96]Deepti Kaur, R. K. Mohanty:
High-order half-step compact numerical approximation for fourth-order parabolic PDEs. Numer. Algorithms 95(3): 1127-1153 (2024)- 2023
- [j95]R. K. Mohanty, Niranjan:
Nine-point compact sixth-order approximation for two-dimensional nonlinear elliptic partial differential equations: Application to bi- and tri-harmonic boundary value problems. Comput. Math. Appl. 152: 239-249 (2023) - [j94]R. K. Mohanty, Bishnu Pada Ghosh, Gunjan Khurana:
High-precision numerical method for 1D quasilinear hyperbolic equations on a time-graded mesh: application to Telegraph model equation. Soft Comput. 27(10): 6095-6107 (2023) - 2022
- [j93]R. K. Mohanty, Bishnu Pada Ghosh:
A high-resolution bi-parametric unconditionally stable ADI method for 2D uniform transmission line equation. Comput. Appl. Math. 41(7) (2022) - [j92]R. K. Mohanty, Bishnu Pada Ghosh, Urvashi Arora:
High precision implicit method for 3D quasilinear hyperbolic equations on a dissimilar domain: Application to 3D telegraphic equation. Comput. Math. Appl. 122: 93-116 (2022) - [j91]Nikita Setia, R. K. Mohanty:
A high accuracy variable mesh numerical approximation for two point nonlinear BVPs with mixed boundary conditions. Soft Comput. 26(19): 9805-9821 (2022) - 2021
- [j90]R. K. Mohanty, Bishnu Pada Ghosh, Sean McKee:
On the absolute stability of a two-step third order method on a graded mesh for an initial-value problem. Comput. Appl. Math. 40(1) (2021) - [j89]R. K. Mohanty, Bishnu Pada Ghosh:
Absolute stability of an implicit method based on third-order off-step discretization for the initial-value problem on a graded mesh. Eng. Comput. 37(2): 809-822 (2021) - [j88]R. K. Mohanty, Sachin Sharma:
A new high-resolution two-level implicit method based on non-polynomial spline in tension approximations for time-dependent quasi-linear biharmonic equations with engineering applications. Eng. Comput. 37(3): 2073-2087 (2021) - [j87]R. K. Mohanty, Sachin Sharma:
A new high-accuracy method based on off-step cubic polynomial approximations for the solution of coupled Burgers' equations and Burgers-Huxley equation. Eng. Comput. 37(4): 3049-3066 (2021) - [j86]Ishaani Priyadarshini, R. K. Mohanty:
High-resolution half-step compact numerical approximation for 2D quasilinear elliptic equations in vector form and the estimates of normal derivatives on an irrational domain. Soft Comput. 25(15): 9967-9991 (2021) - [j85]Nikita Setia, R. K. Mohanty:
A third-order finite difference method on a quasi-variable mesh for nonlinear two point boundary value problems with Robin boundary conditions. Soft Comput. 25(20): 12775-12788 (2021) - 2020
- [j84]Deepti Kaur, R. K. Mohanty:
Highly accurate compact difference scheme for fourth order parabolic equation with Dirichlet and Neumann boundary conditions: Application to good Boussinesq equation. Appl. Math. Comput. 378: 125202 (2020) - [j83]R. K. Mohanty, Sachin Sharma:
A new two-level implicit scheme based on cubic spline approximations for the 1D time-dependent quasilinear biharmonic problems. Eng. Comput. 36(4): 1485-1498 (2020) - 2019
- [j82]R. K. Mohanty, Deepti Kaur, Swarn Singh:
A class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations. Appl. Math. Comput. 352: 68-87 (2019) - [j81]Vikendra Singh, Siraj-ul-Islam, R. K. Mohanty:
Local meshless method for convection dominated steady and unsteady partial differential equations. Eng. Comput. 35(3): 803-812 (2019) - 2017
- [j80]R. K. Mohanty, Sean McKee, Deepti Kaur:
A class of two-level implicit unconditionally stable methods for a fourth order parabolic equation. Appl. Math. Comput. 309: 272-280 (2017) - [j79]Ranjan Kumar Mohanty, Deepti Kaur:
High Accuracy Compact Operator Methods for Two-Dimensional Fourth Order Nonlinear Parabolic Partial Differential Equations. Comput. Methods Appl. Math. 17(4): 617-641 (2017) - [j78]R. K. Mohanty, Deepti Kaur:
Numerov type variable mesh approximations for 1D unsteady quasi-linear biharmonic problem: application to Kuramoto-Sivashinsky equation. Numer. Algorithms 74(2): 427-459 (2017) - 2016
- [j77]R. K. Mohanty, Deepti Kaur:
High accuracy implicit variable mesh methods for numerical study of special types of fourth order non-linear parabolic equations. Appl. Math. Comput. 273: 678-696 (2016) - [j76]M. K. Jain, Sachin Sharma, R. K. Mohanty:
High accuracy variable mesh method for nonlinear two-point boundary value problems in divergence form. Appl. Math. Comput. 273: 885-896 (2016) - [j75]Jyoti Talwar, R. K. Mohanty, Swarn Singh:
A new algorithm based on spline in tension approximation for 1D quasi-linear parabolic equations on a variable mesh. Int. J. Comput. Math. 93(10): 1771-1786 (2016) - 2015
- [j74]R. K. Mohanty, Weizhong Dai, Fei Han:
Compact operator method of accuracy two in time and four in space for the numerical solution of coupled viscous Burgers' equations. Appl. Math. Comput. 256: 381-393 (2015) - [j73]Jyoti Talwar, R. K. Mohanty, Swarn Singh:
A new spline in compression approximation for one space dimensional quasilinear parabolic equations on a variable mesh. Appl. Math. Comput. 260: 82-96 (2015) - [j72]R. K. Mohanty, Sean McKee:
On the stability of two new two-step explicit methods for the numerical integration of second order initial value problem on a variable mesh. Appl. Math. Lett. 45: 31-36 (2015) - [j71]R. K. Mohanty, Nikita Setia:
A new high accuracy two-level implicit off-step discretization for the system of three space dimensional quasi-linear parabolic partial differential equations. Comput. Math. Appl. 69(10): 1096-1113 (2015) - [j70]R. K. Mohanty, Weizhong Dai, Fei Han:
A new high accuracy method for two-dimensional biharmonic equation with nonlinear third derivative terms: application to Navier-Stokes equations of motion. Int. J. Comput. Math. 92(8): 1574-1590 (2015) - [j69]Jyoti Talwar, Ranjan Kumar Mohanty:
A Single Sweep AGE Algorithm based on Off-Step Discretization for the Solution of Viscous Burgers' Equation on a Variable Mesh. Math. Comput. Sci. 9(1): 85-103 (2015) - [j68]R. K. Mohanty, Weizhong Dai, Don Liu:
Operator compact method of accuracy two in time and four in space for the solution of time dependent Burgers-Huxley equation. Numer. Algorithms 70(3): 591-605 (2015) - 2014
- [j67]R. K. Mohanty, Suruchi Singh, Swarn Singh:
A new high order space derivative discretization for 3D quasi-linear hyperbolic partial differential equations. Appl. Math. Comput. 232: 529-541 (2014) - [j66]R. K. Mohanty, Venu Gopal:
High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term. Appl. Math. Comput. 238: 250-265 (2014) - [j65]R. K. Mohanty, Ravindra Kumar:
A new fast algorithm based on half-step discretization for one space dimensional quasilinear hyperbolic equations. Appl. Math. Comput. 244: 624-641 (2014) - [j64]Jyoti Talwar, R. K. Mohanty:
A new modified group explicit iterative method for the numerical solution of time dependent viscous Burgers' equation. Int. J. Model. Simul. Sci. Comput. 5(2): 1350029 (2014) - 2013
- [j63]Venu Gopal, R. K. Mohanty, Navnit Jha:
New Nonpolynomial Spline in Compression Method of O(k2+h4) for the Solution of 1D Wave Equation in Polar Coordinates. Adv. Numer. Anal. 2013: 470480:1-470480:8 (2013) - [j62]Navnit Jha, R. K. Mohanty, Vinod Chauhan:
Geometric Mesh Three-Point Discretization for Fourth-Order Nonlinear Singular Differential Equations in Polar System. Adv. Numer. Anal. 2013: 614508:1-614508:10 (2013) - 2012
- [j61]R. K. Mohanty, Jyoti Talwar:
A combined approach using coupled reduced alternating group explicit (CRAGE) algorithm and sixth order off-step discretization for the solution of two point nonlinear boundary value problems. Appl. Math. Comput. 219(1): 248-259 (2012) - [j60]R. K. Mohanty, Nikita Setia:
A new high accuracy two-level implicit off-step discretization for the system of two space dimensional quasi-linear parabolic partial differential equations. Appl. Math. Comput. 219(5): 2680-2697 (2012) - [j59]Jyoti Talwar, R. K. Mohanty:
A Class of Numerical Methods for the Solution of Fourth-Order Ordinary Differential Equations in Polar Coordinates. Adv. Numer. Anal. 2012: 626419:1-626419:20 (2012) - [j58]R. K. Mohanty, Venu Gopal:
High accuracy Arithmetic Average Type discretization for the solution of two-Space dimensional nonlinear wave equations. Int. J. Model. Simul. Sci. Comput. 3(2): 1150005 (2012) - 2011
- [j57]Ranjan Kumar Mohanty, Vijay Dahiya:
An O(k2+kh2+h2) Accurate Two-level Implicit Cubic Spline Method for One Space Dimensional Quasi-linear Parabolic Equations. Am. J. Comput. Math. 1(1): 11-17 (2011) - [j56]Christian Grossmann, Ranjan Kumar Mohanty, Hans-Goerg Roos:
A direct higher order discretization in singular perturbations via domain split - A computational approach. Appl. Math. Comput. 217(22): 9302-9312 (2011) - [j55]Navnit Jha, R. K. Mohanty:
TAGE iterative algorithm and nonpolynomial spline basis for the solution of nonlinear singular second order ordinary differential equations. Appl. Math. Comput. 218(7): 3289-3296 (2011) - [j54]R. K. Mohanty, Venu Gopal:
High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations. Appl. Math. Comput. 218(8): 4234-4244 (2011) - 2010
- [j53]Ranjan Kumar Mohanty:
On the use of AGE algorithm with a high accuracy Numerov type variable mesh discretization for 1D non-linear parabolic equations. Numer. Algorithms 54(3): 379-393 (2010) - 2009
- [j52]R. K. Mohanty:
A variable mesh C-SPLAGE method of accuracy O(k2hl-1 + khl + hl3) for 1D nonlinear parabolic equations. Appl. Math. Comput. 213(1): 79-91 (2009) - [j51]R. K. Mohanty, Deepika Dhall:
Third order accurate variable mesh discretization and application of TAGE iterative method for the non-linear two-point boundary value problems with homogeneous functions in integral form. Appl. Math. Comput. 215(6): 2024-2034 (2009) - [j50]Dinesh Khattar, Swarn Singh, R. K. Mohanty:
A new coupled approach high accuracy numerical method for the solution of 3D non-linear biharmonic equations. Appl. Math. Comput. 215(8): 3036-3044 (2009) - [j49]R. K. Mohanty, M. K. Jain:
High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations. Int. J. Comput. Math. 86(9): 1556-1571 (2009) - [j48]Navnit Jha, R. K. Mohanty, Bimal Kumar Mishra:
Alternating group explicit iterative method for nonlinear singular Fredholm Integro-differential boundary value problems. Int. J. Comput. Math. 86(9): 1645-1656 (2009) - [j47]R. K. Mohanty:
New unconditionally stable difference schemes for the solution of multi-dimensional telegraphic equations. Int. J. Comput. Math. 86(12): 2061-2071 (2009) - 2007
- [j46]R. K. Mohanty:
An implicit high accuracy variable mesh scheme for 1-D non-linear singular parabolic partial differential equations. Appl. Math. Comput. 186(1): 219-229 (2007) - [j45]R. K. Mohanty:
The smart-BLAGE algorithm for singularly perturbed 2D elliptic partial differential equations. Appl. Math. Comput. 190(1): 321-331 (2007) - [j44]R. K. Mohanty:
Stability interval for explicit difference schemes for multi-dimensional second-order hyperbolic equations with significant first-order space derivative terms. Appl. Math. Comput. 190(2): 1683-1690 (2007) - [j43]R. K. Mohanty:
Three-step BLAGE iterative method for two-dimensional elliptic boundary value problems with singularity. Int. J. Comput. Math. 84(11): 1603-1611 (2007) - [j42]P. K. Pandey, R. K. Mohanty:
An order h4 numerical technique for solving biharmonic equation. Neural Parallel Sci. Comput. 15(1): 59-74 (2007) - 2006
- [j41]R. K. Mohanty, Noopur Khosla:
Application of TAGE iterative algorithms to an efficient third order arithmetic average variable mesh discretization for two-point non-linear boundary value problems. Appl. Math. Comput. 172(1): 148-162 (2006) - [j40]R. K. Mohanty, Urvashi Arora:
A family of non-uniform mesh tension spline methods for singularly perturbed two-point singular boundary value problems with significant first derivatives. Appl. Math. Comput. 172(1): 531-544 (2006) - [j39]R. K. Mohanty, Swarn Singh:
A new fourth order discretization for singularly perturbed two dimensional non-linear elliptic boundary value problems. Appl. Math. Comput. 175(2): 1400-1414 (2006) - [j38]R. K. Mohanty, Urvashi Arora:
A TAGE iterative method for the solution of non-linear singular two point boundary value problems using a sixth order discretization. Appl. Math. Comput. 180(2): 538-548 (2006) - [j37]Urvashi Arora, Samir Karaa, R. K. Mohanty:
A new stable variable mesh method for 1-D non-linear parabolic partial differential equations. Appl. Math. Comput. 181(2): 1423-1430 (2006) - [j36]R. K. Mohanty:
A class of non-uniform mesh three point arithmetic average discretization for y"=f(x, y, y') and the estimates of y'. Appl. Math. Comput. 183(1): 477-485 (2006) - [j35]Ranjan Kumar Mohanty, David J. Evans, Navnit Jha:
A sixth order accurate AGE iterative method for non-linear singular two point boundary value problems. J. Comput. Methods Sci. Eng. 6(1-4): 57-69 (2006) - 2005
- [j34]R. K. Mohanty:
An operator splitting technique for an unconditionally stable difference method for a linear three space dimensional hyperbolic equation with variable coefficients. Appl. Math. Comput. 162(2): 549-557 (2005) - [j33]R. K. Mohanty:
An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients. Appl. Math. Comput. 165(1): 229-236 (2005) - [j32]R. K. Mohanty, Navnit Jha:
A class of variable mesh spline in compression methods for singularly perturbed two point singular boundary value problems. Appl. Math. Comput. 168(1): 704-716 (2005) - [j31]R. K. Mohanty, David J. Evans, Urvashi Arora:
Convergent spline in tension methods for singularly perturbed two-point singular boundary value problems. Int. J. Comput. Math. 82(1): 55-66 (2005) - [j30]R. K. Mohanty, David J. Evans:
Alternating group explicit parallel algorithms for the solution of one-space dimensional non-linear singular parabolic equations using an O(k2 + h4) difference method. Int. J. Comput. Math. 82(2): 203-218 (2005) - [j29]David J. Evans, R. K. Mohanty:
On the application of the SMAGE parallel algorithms on a non-uniform mesh for the solution of non-linear two-point boundary value problems with singularity. Int. J. Comput. Math. 82(3): 341-353 (2005) - [j28]R. K. Mohanty, David J. Evans:
Highly accurate two parameter CAGE parallel algorithms for non-linear singular two point boundary value problems. Int. J. Comput. Math. 82(4): 433-444 (2005) - [j27]R. K. Mohanty, David J. Evans, Noopur Khosla:
An non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems. Int. J. Comput. Math. 82(9): 1125-1139 (2005) - [j26]R. K. Mohanty, Noopur Khosla:
A third-order-accurate variable-mesh TAGE iterative method for the numerical solution of two-point non-linear singular boundary value problems. Int. J. Comput. Math. 82(10): 1261-1273 (2005) - [j25]R. K. Mohanty, Swarn Singh:
Non-uniform Mesh Arithmetic Average Discretization for Parabolic Initial Boundary Value Problems. Neural Parallel Sci. Comput. 13: 401-416 (2005) - 2004
- [j24]R. K. Mohanty:
An operator splitting method for an unconditionally stable difference scheme for a linear hyperbolic equation with variable coefficients in two space dimensions. Appl. Math. Comput. 152(3): 799-806 (2004) - [j23]R. K. Mohanty, P. L. Sachdev, Navnit Jha:
An O(h4) accurate cubic spline TAGE method for nonlinear singular two point boundary value problems. Appl. Math. Comput. 158(3): 853-868 (2004) - [j22]R. K. Mohanty:
An unconditionally stable difference scheme for the one-space-dimensional linear hyperbolic equation. Appl. Math. Lett. 17(1): 101-105 (2004) - [j21]R. K. Mohanty, Navnit Jha, David J. Evans:
Spline in compression method for the numerical solution of singularly perturbed two-point singular boundary-value problems. Int. J. Comput. Math. 81(5): 615-627 (2004) - [j20]R. K. Mohanty, David J. Evans:
Fourth-order accurate BLAGE iterative method for the solution of two-dimensional elliptic equations in polar co-ordinates. Int. J. Comput. Math. 81(12): 1537-1548 (2004) - 2003
- [j19]R. K. Mohanty:
An accurate three spatial grid-point discretization of O(k2+h4) for the numerical solution of one-space dimensional unsteady quasi-linear biharmonic problem of second kind. Appl. Math. Comput. 140(1): 1-14 (2003) - [j18]R. K. Mohanty, David J. Evans, Dinesh Kumar:
High Accuracy Difference Formulae for a Fourth Order Quasi-Linear Parabolic Initial Boundary Value Problem of First Kind. Int. J. Comput. Math. 80(3): 381-398 (2003) - [j17]R. K. Mohanty, David J. Evans:
A Fourth Order Accurate Cubic Spline Alternating Group Explicit Method for Non-Linear Singular Two Point Boundary Value Problems. Int. J. Comput. Math. 80(4): 479-492 (2003) - [j16]R. K. Mohanty, David J. Evans:
The numerical solution of fourth order mildly quasi-linear parabolic initial boundary value problem of second kind. Int. J. Comput. Math. 80(9): 1147-1159 (2003) - [j15]R. K. Mohanty, P. L. Sachdev, Navnit Jha:
Tage Method for Nonlinear Singular Two Point Boundary Value Problem using a Fourth Order Difference Scheme. Neural Parallel Sci. Comput. 11(3): 281-296 (2003) - 2002
- [j14]R. K. Mohanty, M. K. Jain, Urvashi Arora:
An Unconditionally Stable ADI Method for the Linear Hyperbolic Equation in Three Space Dimensions. Int. J. Comput. Math. 79(1): 133-142 (2002) - [j13]David J. Evans, R. K. Mohanty:
Alternating Group Explicit Method for the Numerical Solution of Non-Linear Singular Two-Point Boundary Value Problems Using a Fourth Order Finite Difference Method. Int. J. Comput. Math. 79(10): 1121-1133 (2002) - 2001
- [j12]R. K. Mohanty, Shivani Dey:
A new finite difference discretization of order four for for two-dimensional quasi-linear elliptic boundary value problem. Int. J. Comput. Math. 76(4): 505-516 (2001) - [j11]R. K. Mohanty, David J. Evans, P. K. Pandey:
Block iterative methods for the numerical solution of three dimensional mildly non-linear biharmonic problems of first kind. Int. J. Comput. Math. 77(2): 319-332 (2001) - [j10]R. K. Mohanty, David J. Evans, Shivani Dey:
Three point discretization of order four and six for (du: dx) of the solution of non-linear singular two point boundary value problem. Int. J. Comput. Math. 78(1): 123-139 (2001) - 1999
- [j9]R. K. Mohanty, David J. Evans:
New algorithms for the numerical solution of one dimensional singular biharmonic problems of second kind. Int. J. Comput. Math. 73(1): 105-124 (1999) - [j8]R. K. Mohanty, David J. Evans:
Block Iterative Methods for One Dimensional Nonlinear Biharmonic Problems on a Parallel Computer. Parallel Algorithms Appl. 13(3): 239-263 (1999) - 1998
- [j7]R. K. Mohanty, P. K. Pandey:
Families of accurate discretizations of order two and four for 3-D mildly nonlinear biharmonic problems of second kind. Int. J. Comput. Math. 68(3-4): 363-380 (1998) - [j6]David J. Evans, R. K. Mohanty:
Block iterative methods for the numerical solution of two dimensional nonlinear biharmonic equations. Int. J. Comput. Math. 69(3-4): 371-389 (1998) - 1996
- [j5]R. K. Mohanty, M. K. Jain, P. K. Pandey:
Finite difference methods of order two and four for 2-d non-linear biharmonic problems of first kind. Int. J. Comput. Math. 61(1-2): 155-163 (1996) - 1995
- [j4]R. K. Mohanty, Kochurani George, M. K. Jain:
High accuracy difference schemes for a class of singular three space dimensional hyperbolic equations. Int. J. Comput. Math. 56(3-4): 185-198 (1995) - 1991
- [j3]M. K. Jain, R. K. Jain, R. K. Mohanty:
A higher-order difference method for 3-D parabolic partial differential equations with nonlinear first derivative terms. Int. J. Comput. Math. 38(1-2): 101-112 (1991) - [j2]M. K. Jain, R. K. Jain, R. K. Mohanty:
The numerical solution of the two-dimensional unsteady navier-stokes equations using fourth-order difference method. Int. J. Comput. Math. 39(1-2): 125-134 (1991) - 1990
- [j1]M. K. Jain, R. K. Jain, R. K. Mohanty:
High order difference methods for system of id nonlinear parabolic partial differential equations. Int. J. Comput. Math. 37(1-2): 105-112 (1990)
Coauthor Index
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