Numerical methods based on modified equations for nonlinear evolution equations with compactons

doi:10.1016/j.amc.2008.06.056

2008-10-01

PRE

Francisco Rus *

Francisco R. Villatoro

DOI：10.1016/j.amc.2008.06.056

原文链接

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摘要

En 中文

Compactons are traveling wave solutions with compact support resulting from the balance of both nonlinearity and nonlinear dispersion. Numerical methods with second-, fourth-, sixth-, and eighth-order approximations to the spatial derivatives obtained by means of the method of modified equations applied to the Ismail-Taha finite difference scheme for the Rosenau-Hyman equation are developed. The whole set of methods is compared among them in accuracy, invariant conservation, and in compacton collisions. The best method, among those studied, in terms of the tradeoff between accuracy and computational cost is determined. (C) 2008 Elsevier Inc. All rights reserved.

Keyword:

compacton

Rosenau-Hyman equation

high-order numerical method

method of modified equations

finite difference method

deferred correction

期刊

Applied Mathematics and Computation

IF:

3.4

论文数:

2.3W

被引数:

3.3W

机构

universidad de malaga

学者数:

1.2W

论文数: 9.2K

被引数: 6

University of Sevilla

学者数:

1.9W

论文数: 1.7W

被引数: 15

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