GLOBAL EXTRAPOLATIONS OF NUMERICAL-METHODS FOR SOLVING A 3RD-ORDER DISPERSIVE PARTIAL-DIFFERENTIAL EQUATION

被引：17

作者：

DJIDJELI, K ^{[1
]}

TWIZELL, EH ^{[1
]}

机构：

[1] BRUNEL UNIV, DEPT MATH & STAT, UXBRIDGE UB8 3PH, MIDDX, ENGLAND

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 1991年 / 41卷 / 1-2期

关键词：

3RD-ORDER DISPERSIVE EQUATION; RECURRENCE RELATION; RATIONAL APPROXIMANTS; GLOBAL EXTRAPOLATION;

D O I：

10.1080/00207169108804028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A family of numerical methods is developed for the numerical solution of a linear third-order dispersive partial differential equation in one space variable with time-dependent boundary conditions. The methods are seen to evolve from first- and second-order rational approximants to an exponential function in a recurrence relation. Global extrapolation procedures in time-only and in both space and time are discussed. © 1991, Taylor & Francis Group, LLC

引用

页码：81 / 89

页数：9