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.