NUMERICAL-METHODS FOR THE SOLUTION OF SPECIAL 6TH-ORDER BOUNDARY-VALUE-PROBLEMS

被引:57
|
作者
BOUTAYEB, A [1 ]
TWIZELL, EH [1 ]
机构
[1] BRUNEL UNIV,DEPT MATH & STAT,UXBRIDGE UB8 3PH,MIDDX,ENGLAND
关键词
6TH-ORDER BOUNDARY-VALUE PROBLEMS; GLOBAL EXTRAPOLATION; FINITE DIFFERENCE METHODS;
D O I
10.1080/00207169208804130
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 solution of special nonlinear sixth-order boundary-value problems. Methods with second-, fourth-, sixth- and eighth-order convergence are contained in the family. Global extrapolation procedures on two and three grids, which increase the order of convergence, are outlined.
引用
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页码:207 / 223
页数:17
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