期刊名称：Lecture Notes in Engineering and Computer Science
印刷版ISSN：2078-0958
电子版ISSN：2078-0966
出版年度：2022
卷号：52
期号：2
语种：English
出版社：Newswood and International Association of Engineers
摘要：This paper investigated the use of a successiveover-relaxation parameter in a quarter-sweep finite differenceapproximation scheme. The performance of the developedquarter-sweep successive over-relaxation method is examined byconsidering a nonlinear partial differential equation, namely theporous medium equation. The main contribution of this paperis to present the stability, convergence and efficiency of the pro?posed method. Several initial-boundary value problems of theporous medium equation are solved to illustrate the efficiencyof the proposed method. The numerical results showed thatthe quarter-sweep successive over-relaxation method is moreefficient in reducing iterations and computational time thanthe standard and the existing numerical methods. In addition,the accuracy of the quarter-sweep successive over-relaxationmethod is comparable to the tested numerical methods.
关键词：Finite difference method; Newton method;porous medium equation; quarter-sweep; successive over-relaxation.
