Results 1 to 10 of about 24 (24)

Numeric Fem’s Solution for Space-Time Diffusion Partial Differential Equations with Caputo–Fabrizion and Riemann–Liouville Fractional Order’s Derivatives

open access: yesAnnales 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
doaj   +1 more source

A robust method of lines solution for singularly perturbed delay parabolic problem

open access: yesAlexandria 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
doaj   +1 more source

A second order finite difference scheme for singularly perturbed Volterra integro-differential equation

open access: yesAlexandria 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
doaj   +1 more source

Linear‐implicit strong schemes for Itô‐Galkerin approximations of stochastic PDEs

open access: yesInternational 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
wiley   +1 more source

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