Abdul-Qayyum M. Khaliq

Orcid: 0000-0002-8140-0545

Affiliations:
  • Middle Tennessee State University, Murfreesboro, TN, USA


According to our database1, Abdul-Qayyum M. Khaliq authored at least 60 papers between 1989 and 2025.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2025
Efficient second-order accurate exponential time differencing for time-fractional advection-diffusion-reaction equations with variable coefficients.
Math. Comput. Simul., 2025

2024
Quantum Recurrent Neural Networks: Predicting the Dynamics of Oscillatory and Chaotic Systems.
Algorithms, April, 2024

2023
A hybrid fourth order time stepping method for space distributed order nonlinear reaction-diffusion equations.
Comput. Math. Appl., December, 2023

Stability and Bifurcation Analysis of the Caputo Fractional-Order Asymptomatic COVID-19 Model with Multiple Time-Delays.
Int. J. Bifurc. Chaos, February, 2023

Efficient high-order exponential time differencing methods for nonlinear fractional differential models.
Numer. Algorithms, 2023

Rational Approximations for Oscillatory Two-Parameter Mittag-Leffler Function.
CoRR, 2023

Optimizing Physics-Informed Neural Network in Dynamic System Simulation and Learning of Parameters.
Algorithms, 2023

2022
SEIR model with unreported infected population and dynamic parameters for the spread of COVID-19.
Math. Comput. Simul., 2022

Multivariate cryptocurrency prediction: comparative analysis of three recurrent neural networks approaches.
J. Big Data, 2022

Fourier Spectral Methods with Exponential Time Differencing for Space-Fractional Partial Differential Equations in Population Dynamics.
CoRR, 2022

Multi-variant COVID-19 model with heterogeneous transmission rates using deep neural networks.
CoRR, 2022

Comparative Study of Mortality Rate Prediction Using Data-Driven Recurrent Neural Networks and the Lee-Carter Model.
Big Data Cogn. Comput., 2022

2021
A granular recurrent neural network for multiple time series prediction.
Neural Comput. Appl., 2021

Generalized Exponential Time Differencing Schemes for Stiff Fractional Systems with Nonsmooth Source Term.
J. Sci. Comput., 2021

Identification and prediction of time-varying parameters of COVID-19 model: a data-driven deep learning approach.
Int. J. Comput. Math., 2021

A fractional-order compartmental model for the spread of the COVID-19 pandemic.
Commun. Nonlinear Sci. Numer. Simul., 2021

2020
Efficient high-order compact exponential time differencing method for space-fractional reaction-diffusion systems with nonhomogeneous boundary conditions.
Numer. Algorithms, 2020

Highly Accurate Global Padé Approximations of Generalized Mittag-Leffler Function and Its Inverse.
J. Sci. Comput., 2020

High-order time-stepping methods for two-dimensional Riesz fractional nonlinear reaction-diffusion equations.
Comput. Math. Appl., 2020

2019
Slow-scale split-step tau-leap method for stiff stochastic chemical systems.
J. Comput. Appl. Math., 2019

An exponential time differencing method of lines for Burgers-Fisher and coupled Burgers equations.
J. Comput. Appl. Math., 2019

Fourier spectral exponential time differencing methods for multi-dimensional space-fractional reaction-diffusion equations.
J. Comput. Appl. Math., 2019

High-order time stepping Fourier spectral method for multi-dimensional space-fractional reaction-diffusion equations.
Comput. Math. Appl., 2019

2018
On the implementation of multilevel Monte Carlo simulation of the stochastic volatility and interest rate model using multi-GPU clusters.
Monte Carlo Methods Appl., 2018

Parallel algorithms for nonlinear time-space fractional parabolic PDEs.
J. Comput. Phys., 2018

Efficient time discretization scheme for nonlinear space fractional reaction-diffusion equations.
Int. J. Comput. Math., 2018

Fourth-order methods for space fractional reaction-diffusion equations with non-smooth data.
Int. J. Comput. Math., 2018

Preface.
Int. J. Comput. Math., 2018

Solving complex PIDE systems for pricing American option under multi-state regime switching jump-diffusion model.
Comput. Math. Appl., 2018

An efficient Fourier spectral exponential time differencing method for the space-fractional nonlinear Schrödinger equations.
Comput. Math. Appl., 2018

Linearly implicit predictor-corrector methods for space-fractional reaction-diffusion equations with non-smooth initial data.
Comput. Math. Appl., 2018

Efficient Krylov-based exponential time differencing method in application to 3D advection-diffusion-reaction systems.
Appl. Math. Comput., 2018

2017
The locally extrapolated exponential splitting scheme for multi-dimensional nonlinear space-fractional Schrödinger equations.
Numer. Algorithms, 2017

A fourth-order implicit-explicit scheme for the space fractional nonlinear Schrödinger equations.
Numer. Algorithms, 2017

Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative.
J. Comput. Phys., 2017

A conservative exponential time differencing method for the nonlinear cubic Schrödinger equation.
Int. J. Comput. Math., 2017

Local RBF method for multi-dimensional partial differential equations.
Comput. Math. Appl., 2017

2016
Recent advances in numerical methods for systems of partial differential equations.
J. Comput. Appl. Math., 2016

A compact fourth-order L-stable scheme for reaction-diffusion systems with nonsmooth data.
J. Comput. Appl. Math., 2016

A real distinct poles Exponential Time Differencing scheme for reaction-diffusion systems.
J. Comput. Appl. Math., 2016

Fourth-order compact schemes for the numerical simulation of coupled Burgers' equation.
Comput. Phys. Commun., 2016

2015
The locally extrapolated exponential time differencing LOD scheme for multidimensional reaction-diffusion systems.
J. Comput. Appl. Math., 2015

Pricing American options under multi-state regime switching with an efficient <i>L</i>- stable method.
Int. J. Comput. Math., 2015

Split-step Adams-Moulton Milstein methods for systems of stiff stochastic differential equations.
Int. J. Comput. Math., 2015

2014
Stabilized explicit Runge-Kutta methods for multi-asset American options.
Comput. Math. Appl., 2014

Exponential time differencing Crank-Nicolson method with a quartic spline approximation for nonlinear Schrödinger equations.
Appl. Math. Comput., 2014

Higher order exponential time differencing scheme for system of coupled nonlinear Schrödinger equations.
Appl. Math. Comput., 2014

2012
The numerical approximation of nonlinear Black-Scholes model for exotic path-dependent American options with transaction cost.
Int. J. Comput. Math., 2012

2009
High-order compact scheme for solving nonlinear Black-Scholes equation with transaction cost.
Int. J. Comput. Math., 2009

Editorial.
Int. J. Comput. Math., 2009

2007
Preface: Splitting methods for differential equations.
Int. J. Comput. Math., 2007

On the monotonicity of an adaptive splitting scheme for two-dimensional singular reaction-diffusion equations.
Int. J. Comput. Math., 2007

2005
Numerical simulation of two-dimensional sine-Gordon solitons via a split cosine scheme.
Math. Comput. Simul., 2005

2003
A Fourth Order -stable Method for the Black-Scholes Model with Barrier Options.
Proceedings of the Computational Science and Its Applications, 2003

2002
Modified arc-length adaptive algorithms for degenerate reaction-diffusion equations.
Appl. Math. Comput., 2002

2001
Parallel Rosenbrock Methods for Chemical Systems.
Comput. Chem., 2001

2000
A Non-Overlapping Implicit Predictor-Corrector Scheme for Parabolic Equations.
Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, 2000

1996
Time-stepping algorithms for semidiscretized linear parabolic PDEs based on rational approximants with distinct real poles.
Adv. Comput. Math., 1996

1993
A Parallel Fourth Order Method for Second Order Hyperbolic Partial Differential Equations.
Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, 1993

1989
Global extrapolation of numerical methods.
Proceedings of the Conference on Numerical Ordinary Differential Equations, USA, 1989, 1989


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