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ORCIDAbdul-Qayyum M. Khaliq
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- affiliation: Middle Tennessee State University, Murfreesboro, TN, USA
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2020 – today
- 2025
[j54]Aljowhara H. Honain, Khaled M. Furati, Ibrahim O. Sarumi, Abdul Q. M. Khaliq:
Generalized exponential time differencing for fractional oscillation models. J. Comput. Appl. Math. 461: 116456 (2025)- [j53]Ibrahim O. Sarumi
, Khaled M. Furati, Abdul Q. M. Khaliq:
Efficient second-order accurate exponential time differencing for time-fractional advection-diffusion-reaction equations with variable coefficients. Math. Comput. Simul. 230: 20-38 (2025) - 2024
- [j52]Yuan Chen, A. Q. M. Khaliq:
Quantum Recurrent Neural Networks: Predicting the Dynamics of Oscillatory and Chaotic Systems. Algorithms 17(4): 163 (2024) - 2023
- [j51]Ebenezer O. Oluwasakin, Abdul Q. M. Khaliq:
Optimizing Physics-Informed Neural Network in Dynamic System Simulation and Learning of Parameters. Algorithms 16(12): 547 (2023) - [j50]Muhammad S. Yousuf, Khaled M. Furati, A. Q. M. Khaliq:
A hybrid fourth order time stepping method for space distributed order nonlinear reaction-diffusion equations. Comput. Math. Appl. 151: 116-126 (2023) - [j49]Fathalla A. Rihan, K. Udhayakumar, Nicola Sottocornola, M. Naim Anwar, Abdul Q. M. Khaliq:
Stability and Bifurcation Analysis of the Caputo Fractional-Order Asymptomatic COVID-19 Model with Multiple Time-Delays. Int. J. Bifurc. Chaos 33(2): 2350022:1-2350022:34 (2023) - [j48]Ibrahim O. Sarumi, Khaled M. Furati, Kassem Mustapha, Abdul Q. M. Khaliq:
Efficient high-order exponential time differencing methods for nonlinear fractional differential models. Numer. Algorithms 92(2): 1261-1288 (2023) - [i4]Aljowhara H. Honain, Khaled M. Furati, Ibrahim O. Sarumi, Abdul Q. M. Khaliq:
Rational Approximations for Oscillatory Two-Parameter Mittag-Leffler Function. CoRR abs/2312.07444 (2023) - 2022
- [j47]Yuan Chen, Abdul Q. M. Khaliq:
Comparative Study of Mortality Rate Prediction Using Data-Driven Recurrent Neural Networks and the Lee-Carter Model. Big Data Cogn. Comput. 6(4): 134 (2022) - [j46]Seng Hansun, Arya Wicaksana, Abdul Q. M. Khaliq:
Multivariate cryptocurrency prediction: comparative analysis of three recurrent neural networks approaches. J. Big Data 9(1): 50 (2022) - [j45]Ziren Chen, Lin Feng, Harold A. Lay Jr., Khaled M. Furati, Abdul-Qayyum M. Khaliq:
SEIR model with unreported infected population and dynamic parameters for the spread of COVID-19. Math. Comput. Simul. 198: 31-46 (2022) - [i3]K. D. Olumoyin, A. Q. M. Khaliq, Khaled M. Furati:
Multi-variant COVID-19 model with heterogeneous transmission rates using deep neural networks. CoRR abs/2205.06834 (2022) - [i2]A. P. Harris, T. A. Biala, Abdul-Qayyum M. Khaliq:
Fourier Spectral Methods with Exponential Time Differencing for Space-Fractional Partial Differential Equations in Population Dynamics. CoRR abs/2212.03345 (2022) - 2021
- [j44]Toheeb Biala, A. Q. M. Khaliq:
A fractional-order compartmental model for the spread of the COVID-19 pandemic. Commun. Nonlinear Sci. Numer. Simul. 98: 105764 (2021) - [j43]Jie Long, A. Q. M. Khaliq, Khaled M. Furati:
Identification and prediction of time-varying parameters of COVID-19 model: a data-driven deep learning approach. Int. J. Comput. Math. 98(8): 1617-1632 (2021) - [j42]Ibrahim O. Sarumi, Khaled M. Furati, Abdul Q. M. Khaliq, Kassem Mustapha:
Generalized Exponential Time Differencing Schemes for Stiff Fractional Systems with Nonsmooth Source Term. J. Sci. Comput. 86(2): 23 (2021) - [j41]Stefania Tomasiello, Vincenzo Loia, Abdul Q. M. Khaliq:
A granular recurrent neural network for multiple time series prediction. Neural Comput. Appl. 33(16): 10293-10310 (2021) - 2020
- [j40]Muhammad S. Yousuf, Khaled M. Furati, A. Q. M. Khaliq:
High-order time-stepping methods for two-dimensional Riesz fractional nonlinear reaction-diffusion equations. Comput. Math. Appl. 80(1): 204-226 (2020) - [j39]Ibrahim O. Sarumi, Khaled M. Furati, Abdul Q. M. Khaliq:
Highly Accurate Global Padé Approximations of Generalized Mittag-Leffler Function and Its Inverse. J. Sci. Comput. 82(2): 46 (2020) - [j38]Harish P. Bhatt, A. Q. M. Khaliq, Khaled M. Furati:
Efficient high-order compact exponential time differencing method for space-fractional reaction-diffusion systems with nonhomogeneous boundary conditions. Numer. Algorithms 83(4): 1373-1397 (2020)
2010 – 2019
- 2019
- [j37]S. S. Alzahrani, A. Q. M. Khaliq:
High-order time stepping Fourier spectral method for multi-dimensional space-fractional reaction-diffusion equations. Comput. Math. Appl. 77(3): 615-630 (2019) - [j36]Athanassios G. Bratsos, A. Q. M. Khaliq:
An exponential time differencing method of lines for Burgers-Fisher and coupled Burgers equations. J. Comput. Appl. Math. 356: 182-197 (2019) - [j35]Viktor Reshniak, Abdul Q. M. Khaliq, David A. Voss:
Slow-scale split-step tau-leap method for stiff stochastic chemical systems. J. Comput. Appl. Math. 361: 79-96 (2019) - [j34]Saham S. Alzahrani, Abdul Q. M. Khaliq:
Fourier spectral exponential time differencing methods for multi-dimensional space-fractional reaction-diffusion equations. J. Comput. Appl. Math. 361: 157-175 (2019) - [i1]Ibrahim O. Sarumi, Khaled M. Furati, Abdul Q. M. Khaliq:
Highly Accurate Global Padé Approximations of Generalized Mittag-Leffler Function and its Inverse. CoRR abs/1912.10996 (2019) - 2018
- [j33]Harish P. Bhatt, A. Q. M. Khaliq, Bruce A. Wade:
Efficient Krylov-based exponential time differencing method in application to 3D advection-diffusion-reaction systems. Appl. Math. Comput. 338: 260-273 (2018) - [j32]A. Q. M. Khaliq, Toheeb Biala, S. S. Alzahrani, Khaled M. Furati:
Linearly implicit predictor-corrector methods for space-fractional reaction-diffusion equations with non-smooth initial data. Comput. Math. Appl. 75(8): 2629-2657 (2018) - [j31]Muhammad S. Yousuf, A. Q. M. Khaliq, Salah Alrabeei:
Solving complex PIDE systems for pricing American option under multi-state regime switching jump-diffusion model. Comput. Math. Appl. 75(8): 2989-3001 (2018) - [j30]Xiao Liang, Abdul Q. M. Khaliq:
An efficient Fourier spectral exponential time differencing method for the space-fractional nonlinear Schrödinger equations. Comput. Math. Appl. 75(12): 4438-4457 (2018) - [j29]Khaled M. Furati, Abdul Q. M. Khaliq, Changpin Li, Mohsen Zayernouri:
Preface. Int. J. Comput. Math. 95(6-7): 1047 (2018) - [j28]Khaled M. Furati, Muhammad S. Yousuf, A. Q. M. Khaliq:
Fourth-order methods for space fractional reaction-diffusion equations with non-smooth data. Int. J. Comput. Math. 95(6-7): 1240-1256 (2018) - [j27]Olaniyi Samuel Iyiola, E. O. Asante-Asamani, Khaled M. Furati, A. Q. M. Khaliq, Bruce A. Wade:
Efficient time discretization scheme for nonlinear space fractional reaction-diffusion equations. Int. J. Comput. Math. 95(6-7): 1274-1291 (2018) - [j26]Toheeb Biala, A. Q. M. Khaliq:
Parallel algorithms for nonlinear time-space fractional parabolic PDEs. J. Comput. Phys. 375: 135-154 (2018) - [j25]Harold A. Lay, Zane Colgin, Viktor Reshniak, Abdul Q. M. Khaliq:
On the implementation of multilevel Monte Carlo simulation of the stochastic volatility and interest rate model using multi-GPU clusters. Monte Carlo Methods Appl. 24(4): 309-321 (2018) - 2017
- [j24]Imtiaz Ahmad, Siraj-ul-Islam, Abdul Q. M. Khaliq:
Local RBF method for multi-dimensional partial differential equations. Comput. Math. Appl. 74(2): 292-324 (2017) - [j23]Athanassios G. Bratsos, A. Q. M. Khaliq:
A conservative exponential time differencing method for the nonlinear cubic Schrödinger equation. Int. J. Comput. Math. 94(2): 230-251 (2017) - [j22]Sadia Arshad, Jianfei Huang, Abdul Q. M. Khaliq, Yifa Tang:
Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative. J. Comput. Phys. 350: 1-15 (2017) - [j21]A. Q. M. Khaliq, X. Liang, Khaled M. Furati:
A fourth-order implicit-explicit scheme for the space fractional nonlinear Schrödinger equations. Numer. Algorithms 75(1): 147-172 (2017) - [j20]X. Liang, A. Q. M. Khaliq, Harish P. Bhatt, Khaled M. Furati:
The locally extrapolated exponential splitting scheme for multi-dimensional nonlinear space-fractional Schrödinger equations. Numer. Algorithms 76(4): 939-958 (2017) - 2016
- [j19]Harish P. Bhatt, Abdul-Qayyum M. Khaliq:
Fourth-order compact schemes for the numerical simulation of coupled Burgers' equation. Comput. Phys. Commun. 200: 117-138 (2016) - [j18]Abdul Q. M. Khaliq, JaEun Ku, Qin Sheng:
Recent advances in numerical methods for systems of partial differential equations. J. Comput. Appl. Math. 299: 1 (2016) - [j17]E. O. Asante-Asamani, A. Q. M. Khaliq, Bruce A. Wade:
A real distinct poles Exponential Time Differencing scheme for reaction-diffusion systems. J. Comput. Appl. Math. 299: 24-34 (2016) - [j16]Harish P. Bhatt, A. Q. M. Khaliq:
A compact fourth-order L-stable scheme for reaction-diffusion systems with nonsmooth data. J. Comput. Appl. Math. 299: 176-193 (2016) - 2015
- [j15]David A. Voss, Abdul-Qayyum M. Khaliq:
Split-step Adams-Moulton Milstein methods for systems of stiff stochastic differential equations. Int. J. Comput. Math. 92(5): 995-1011 (2015) - [j14]Muhammad S. Yousuf, Abdul-Qayyum M. Khaliq, R. H. Liu:
Pricing American options under multi-state regime switching with an efficient L- stable method. Int. J. Comput. Math. 92(12): 2530-2550 (2015) - [j13]Harish P. Bhatt, Abdul Q. M. Khaliq:
The locally extrapolated exponential time differencing LOD scheme for multidimensional reaction-diffusion systems. J. Comput. Appl. Math. 285: 256-278 (2015) - 2014
- [j12]Harish P. Bhatt, Abdul Q. M. Khaliq:
Higher order exponential time differencing scheme for system of coupled nonlinear Schrödinger equations. Appl. Math. Comput. 228: 271-291 (2014) - [j11]Xiao Liang, Abdul-Qayyum M. Khaliq, Qin Sheng:
Exponential time differencing Crank-Nicolson method with a quartic spline approximation for nonlinear Schrödinger equations. Appl. Math. Comput. 235: 235-252 (2014) - [j10]J. Martín-Vaquero, A. Q. M. Khaliq, Britta Kleefeld:
Stabilized explicit Runge-Kutta methods for multi-asset American options. Comput. Math. Appl. 67(6): 1293-1308 (2014) - 2012
- [j9]Muhammad S. Yousuf, A. Q. M. Khaliq, Britta Kleefeld:
The numerical approximation of nonlinear Black-Scholes model for exotic path-dependent American options with transaction cost. Int. J. Comput. Math. 89(9): 1239-1254 (2012)
2000 – 2009
- 2009
- [j8]Abdul-Qayyum M. Khaliq, Qin Sheng, David A. Voss:
Editorial. Int. J. Comput. Math. 86(6): 939 (2009) - [j7]Wenyuan Liao, Abdul Q. M. Khaliq:
High-order compact scheme for solving nonlinear Black-Scholes equation with transaction cost. Int. J. Comput. Math. 86(6): 1009-1023 (2009) - 2007
- [j6]Qin Sheng, Abdul-Qayyum M. Khaliq:
Preface: Splitting methods for differential equations. Int. J. Comput. Math. 84(6): 709-711 (2007) - [j5]Abdul-Qayyum M. Khaliq, Qin Sheng:
On the monotonicity of an adaptive splitting scheme for two-dimensional singular reaction-diffusion equations. Int. J. Comput. Math. 84(6): 795-806 (2007) - 2005
- [j4]Qin Sheng, Abdul-Qayyum M. Khaliq, Dave A. Voss:
Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme. Math. Comput. Simul. 68(4): 355-373 (2005) - 2003
- [c4]Dave A. Voss, Abdul-Qayyum M. Khaliq, S. H. K. Kazmi, H. He:
A Fourth Order -stable Method for the Black-Scholes Model with Barrier Options. ICCSA (3) 2003: 199-207 - 2002
- [j3]Qin Sheng, A. Q. M. Khaliq:
Modified arc-length adaptive algorithms for degenerate reaction-diffusion equations. Appl. Math. Comput. 126(2-3): 279-297 (2002) - 2001
- [j2]Dave A. Voss, Abdul-Qayyum M. Khaliq:
Parallel Rosenbrock Methods for Chemical Systems. Comput. Chem. 25(1): 101-107 (2001) - 2000
- [c3]Daoud S. Daoud, Abdul-Qayyum M. Khaliq, Bruce A. Wade:
A Non-Overlapping Implicit Predictor-Corrector Scheme for Parabolic Equations. PDPTA 2000
1990 – 1999
- 1996
- [j1]Dave A. Voss, Abdul-Qayyum M. Khaliq:
Time-stepping algorithms for semidiscretized linear parabolic PDEs based on rational approximants with distinct real poles. Adv. Comput. Math. 6(1): 353-363 (1996) - 1993
- [c2]Abdul-Qayyum M. Khaliq, Dave A. Voss:
A Parallel Fourth Order Method for Second Order Hyperbolic Partial Differential Equations. PPSC 1993: 586-589
1980 – 1989
- 1989
- [c1]A. Q. M. Khaliq, Edward H. Twizell:
Global extrapolation of numerical methods. Conference on Numerical Ordinary Differential Equations 1989: 148-160
Coauthor Index
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