AN EFFICIENT NUMERICAL TECHNIQUE FOR SOLVING HEAT EQUATION WITH NONLOCAL BOUNDARY CONDITIONS

Autor:	Zakia HAMMOUCH, Anam ZAHRA, Azız REHMAN, Syed Ali MARDAN
Rok vydání:	2022
Předmět:	Matematik Applied Mathematics Parabolic partial differential equation Non-local boundary conditions Finite difference scheme Integral boundary condition Mathematics Analysis
Zdroj:	Volume: 6, Issue: 2 157-167 Advances in the Theory of Nonlinear Analysis and its Application
ISSN:	2587-2648
DOI:	10.31197/atnaa.846217
Popis:	A third order parallel algorithm is proposed to solve one dimensional non-homogenous heat equation with integral boundary conditions. For this purpose, we approximate the space derivative by third order finite difference approximation. This parallel splitting technique is combined with Simpson's 1/3 rule to tackle the nonlocal part of this problem. The algorithm develop here is tested on two model problems. We conclude that our method provides better accuracy due to availability of real arithmetic.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0009ec0a7472c5ded123a4fc4c26a3a1 https://doi.org/10.31197/atnaa.846217 Zobrazit plný text záznamu