An Efficient Non-Standard Numerical Scheme Coupled with a Compact Finite Difference Method to Solve the One-Dimensional Burgers’ Equation

Autor:	Singh, Komalpreet Kaur, Gurjinder
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	non-standard numerical scheme compact finite difference method Von Neumann stability analysis
Zdroj:	Axioms; Volume 12; Issue 6; Pages: 593
ISSN:	2075-1680
DOI:	10.3390/axioms12060593
Popis:	This article proposes a family of non-standard methods coupled with compact finite differences to numerically integrate the non-linear Burgers’ equation. Firstly, a family of non-standard methods is derived to deal with a system of ordinary differential equations (ODEs) arising from the semi-discretization of initial-boundary value partial differential equations (PDEs). Further, a method of this family is considered as a special case and coupled with a fourth-order compact finite difference resulting in a combined numerical scheme to solve initial-boundary value PDEs. The combined scheme has first-order accuracy in time and fourth-order accuracy in space. Some basic characteristics of the scheme are analysed and a section concerning the numerical experiments is presented demonstrating the good performance of the combined numerical scheme.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=multidiscipl::bcebc0acef9d4cb5ab83d54f935878cb Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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