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Journal Articles

A nonuniform difference scheme for time-space fractional integro-differential equation with initial singularity

Emadidin Gahalla Mohmed Elmahdi, Jianfei Huang
Journal: Engineering Computations
Engineering Computations (2026) 43 (2): 770–784.
https://doi.org/10.1108/EC-07-2024-0643
Published: 28 November 2025
... 09 01 2025 04 11 2025 © Emerald Publishing Limited 2025 Emerald Publishing Limited Licensed re-use rights only Fractional integro-differential equations Nonuniform meshes Finite difference scheme Stability Convergence 65M06 65M12 Natural Science Foundation...
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Journal Articles

Efficient structure-preserving algorithms for Zakharov–Rubenchik equation

Jinliang Yan, Lianghong Zheng, Ling Zhu
Journal: Engineering Computations
Engineering Computations (2026) 43 (1): 382–409.
https://doi.org/10.1108/EC-01-2025-0010
Published: 26 November 2025
... rights only Linearly implicit Crank–Nicolson scheme Extrapolation Zakharov–Rubenchik equation 65L05 65M06 65M20 65P10 Jinliang Yan can be contacted at: yanjinliang3333@163.com Conflict of interest: The authors declares no competing interests. 02 01 2025...
View article titled, Efficient structure-preserving algorithms for Zakharov–Rubenchik equation
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Journal Articles

Numerical approximation of parabolic singularly perturbed problems with large spatial delay and turning point

Amit Sharma, Pratima Rai
Journal: Engineering Computations
Engineering Computations (2024) 41 (5): 1141–1170.
https://doi.org/10.1108/EC-09-2023-0534
Published: 26 June 2024
... differential equation Singular perturbation 65M06 65M12 65M15 65M50 Pratima Rai can be contacted at: pratimarai5@gmail.com 06 09 2023 01 04 2024 12 05 2024 © Emerald Publishing Limited 2024 Emerald Publishing Limited Licensed re-use rights only A mathematical...
View article titled, Numerical approximation of parabolic singularly perturbed problems with large spatial delay and turning point
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Journal Articles

Uniformly convergent computational method for singularly perturbed time delayed parabolic differential-difference equations

Jugal Mohapatra, Sushree Priyadarshana, Narahari Raji Reddy
Journal: Engineering Computations
Engineering Computations (2023) 40 (3): 694–717.
https://doi.org/10.1108/EC-06-2022-0396
Published: 26 May 2023
...-difference equations Time lag Singular perturbation Hybrid scheme Crank-Nicholson scheme 65M06 65M12 It is witnessed that the ample diversity of dynamics observed in natural systems and applied science cannot be captured by simple models of ordinary and partial differential equations (ODEs...
View article titled, Uniformly convergent computational method for singularly perturbed time delayed parabolic differential-difference equations
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Journal Articles

A robust numerical method for a coupled system of singularly perturbed parabolic delay problems

Mukesh Kumar, Joginder Singh, Sunil Kumar, Aakansha
Journal: Engineering Computations
Engineering Computations (2021) 38 (2): 964–988.
https://doi.org/10.1108/EC-04-2020-0191
Published: 06 August 2020
... Coupled systems Uniform convergence Delay differential equations Singularly perturbed problems 65M06 65M12 65M15 Delay differential equations frequently arise in problems with delaying links where certain information processing is needed in the mathematical model of various biological...
View article titled, A robust numerical method for a coupled system of singularly perturbed parabolic delay problems
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Journal Articles

A higher order scheme for singularly perturbed delay parabolic turning point problem

Swati Yadav, Pratima Rai
Journal: Engineering Computations
Engineering Computations (2021) 38 (2): 819–851.
https://doi.org/10.1108/EC-03-2020-0172
Published: 17 July 2020
... Richardson extrapolation Shishkin mesh Singular perturbed parabolic delay differential equation Turning point Twin boundary layers 65M12 65M30 65M06 65M15 Singularly perturbed delay differential equations are the differential equations in which a small parameter is multiplied...
View article titled, A higher order scheme for singularly perturbed delay parabolic turning point problem
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Journal Articles

A high-resolution method based on off-step non-polynomial spline approximations for the solution of Burgers-Fisher and coupled nonlinear Burgers’ equations

Ranjan Kumar Mohanty, Sachin Sharma
Journal: Engineering Computations
Engineering Computations (2020) 37 (8): 2785–2818.
https://doi.org/10.1108/EC-08-2019-0359
Published: 09 April 2020
... of quasi-linear parabolic PDEs. The GBHE is given by: Coupled burgers’ equation Generalized Burgers-Fisher equation Generalized Burgers-Huxley equation Graded mesh Non-linear parabolic equations Spline in tension Newton’s iterative method 65M06 65M12 65M22 65Y20 CSIR-SRF 09...
View article titled, A high-resolution method based on off-step non-polynomial spline approximations for the solution of Burgers-Fisher and coupled nonlinear Burgers’ equations
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