Results 1 to 10 of about 49 (49)
Annales Mathematicae Silesianae, 2023 In this paper, we use the finite element method to solve the fractional space-time diffusion equation over finite fields. This equation is obtained from the standard diffusion equation by replacing the first temporal derivative with the new fractional ...
Boutiba Malika +2 more
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A robust method of lines solution for singularly perturbed delay parabolic problem
Alexandria Engineering Journal, 2020 A numerical method is proposed to solve a non-autonomous singularly perturbed parabolic differential equation with a time delay. The solution is obtained by a step by step discretisation process. First the spatial derivatives are discretised via a fitted
Nana Adjoah Mbroh +2 more
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Alexandria Engineering Journal, 2020 In this paper, a singularly perturbed Volterra integro-differential equation, characterised by a single layer, is investigated. A numerical technique which uses a non-standard finite difference scheme is implemented to solve the differential part ...
Nana Adjoah Mbroh +2 more
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Linear‐implicit strong schemes for Itô‐Galkerin approximations of stochastic PDEs
International Journal of Stochastic Analysis, Volume 14, Issue 1, Page 47-53, 2001., 2001 Linear‐implicit versions of strong Taylor numerical schemes for finite dimensional Itô stochastic differential equations (SDEs) are shown to have the same order as the original scheme. The combined truncation and global discretization error of an γ strong linear‐implicit Taylor scheme with time‐step Δ applied to the N dimensional Itô‐Galerkin SDE for a
P. E. Kloeden, S. Shott
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Partial Differential Equations in Applied MathematicsA novel approach has been introduced to address time-fractional singularly perturbed parabolic partial differential equations. This method utilizes the L1-Caputo finite difference technique to approximate the fractional derivative term and employs an ...
Mesfin Mekuria Woldaregay +1 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This study develops a robust hybrid numerical scheme for a class of time‐dependent, singularly perturbed differential‐difference equations characterized by a small positive parameter multiplying the highest order derivative term and mixed spatial shifts (delay and advance) in the reaction terms.
Ababi H. Ejere +4 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This paper presents a class of singularly perturbed parabolic‐type reaction diffusion problems. Due to the presence of a small parameter ε, (0 < ε ≪ 1) as a diffusion coefficient, the proposed problem exhibits twin boundary layers in the neighborhood of the end points of the spatial domain near x = 0 and x = 1.
Amare Worku Demsie +3 more
wiley +1 more source
A tension spline fitted numerical scheme for singularly perturbed reaction-diffusion problem with negative shift. [PDF]
BMC Res Notes, 2023 Ejere AH +3 more
europepmc +1 more source
Accurate numerical scheme for singularly perturbed parabolic delay differential equation. [PDF]
BMC Res Notes, 2021 Woldaregay MM, Duressa GF.
europepmc +1 more source
Accelerated nonstandard finite difference method for singularly perturbed Burger-Huxley equations. [PDF]
BMC Res Notes, 2021 Kabeto MJ, Duressa GF.
europepmc +1 more source