Numerical methods for the solution of special sixth-order boundary-value problems

Abstract

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.

Keywords:

• Sixth-order boundary-value problems
• global extrapolation
• finite difference methods

C.R.Categories:

• G.1.7

^† To whom all requests for offprints should be addressed

^† To whom all requests for offprints should be addressed

Notes

^† To whom all requests for offprints should be addressed