A fourth-order compact finite difference scheme for the Goursat problem

A high-order uniform Cartesian grid compact finite difference scheme for the Goursat problem is developed. The basic idea of high-order compact schemes is to find the compact approximations to the derivatives terms by differentiating centrally the governing equations. Our compact scheme will approxi...

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Main Authors:	Mohd Agos Salim Nasir, Ahmad Izani Md Ismail
Format:	Article
Language:	English
Published:	Universiti Kebangsaan Malaysia 2013
Online Access:	http://journalarticle.ukm.my/5977/ http://journalarticle.ukm.my/5977/ http://journalarticle.ukm.my/5977/1/10%2520Mohd%2520Agos.pdf

id	ukm-5977
recordtype	eprints
spelling	ukm-59772016-12-14T06:40:00Z http://journalarticle.ukm.my/5977/ A fourth-order compact finite difference scheme for the Goursat problem Mohd Agos Salim Nasir, Ahmad Izani Md Ismail, A high-order uniform Cartesian grid compact finite difference scheme for the Goursat problem is developed. The basic idea of high-order compact schemes is to find the compact approximations to the derivatives terms by differentiating centrally the governing equations. Our compact scheme will approximate the derivative terms by involving the higher terms and reducing the number of grid points. The compact finite difference scheme is given for general form of the Goursat problem in uniform domain and illustrates the performance by applying a linear problem. Numerical experiments have been conducted with the new scheme and encouraging results have been obtained. In this paper we present the compact finite difference scheme for the Goursat problem. With the aid of computational software the scheme was programmed for determining the relative errors of linear Goursat problem. Universiti Kebangsaan Malaysia 2013-03 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/5977/1/10%2520Mohd%2520Agos.pdf Mohd Agos Salim Nasir, and Ahmad Izani Md Ismail, (2013) A fourth-order compact finite difference scheme for the Goursat problem. Sains Malaysiana, 42 (3). 341 -346. ISSN 0126-6039 http://www.ukm.my/jsm/
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	A high-order uniform Cartesian grid compact finite difference scheme for the Goursat problem is developed. The basic idea of high-order compact schemes is to find the compact approximations to the derivatives terms by differentiating centrally the governing equations. Our compact scheme will approximate the derivative terms by involving the higher terms and reducing the number of grid points. The compact finite difference scheme is given for general form of the Goursat problem in uniform domain and illustrates the performance by applying a linear problem. Numerical experiments have been conducted with the new scheme and encouraging results have been obtained. In this paper we present the compact finite difference scheme for the Goursat problem. With the aid of computational software the scheme was programmed for determining the relative errors of linear Goursat problem.
format	Article
author	Mohd Agos Salim Nasir, Ahmad Izani Md Ismail,
spellingShingle	Mohd Agos Salim Nasir, Ahmad Izani Md Ismail, A fourth-order compact finite difference scheme for the Goursat problem
author_facet	Mohd Agos Salim Nasir, Ahmad Izani Md Ismail,
author_sort	Mohd Agos Salim Nasir,
title	A fourth-order compact finite difference scheme for the Goursat problem
title_short	A fourth-order compact finite difference scheme for the Goursat problem
title_full	A fourth-order compact finite difference scheme for the Goursat problem
title_fullStr	A fourth-order compact finite difference scheme for the Goursat problem
title_full_unstemmed	A fourth-order compact finite difference scheme for the Goursat problem
title_sort	fourth-order compact finite difference scheme for the goursat problem
publisher	Universiti Kebangsaan Malaysia
publishDate	2013
url	http://journalarticle.ukm.my/5977/ http://journalarticle.ukm.my/5977/ http://journalarticle.ukm.my/5977/1/10%2520Mohd%2520Agos.pdf
first_indexed	2023-09-18T19:45:39Z
last_indexed	2023-09-18T19:45:39Z
_version_	1777405882457391104

A fourth-order compact finite difference scheme for the Goursat problem

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