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A seventh-order numerical method for solving boundary value nonlinear ordinary differential equations

✍ Scribed by R. P. Tewarson

Publisher
John Wiley and Sons
Year
1982
Tongue
English
Weight
261 KB
Volume
18
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

A numerical method for solving two‐point boundary value problems associated with systems of first‐order nonlinear ordinary differential equations is described. It needs three function evaluations for each sub‐interval and is of order O(h^7^), where h is the space chop. Results of computational experiments comparing this method with other known methods are given.

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## Abstract There have been many numerical solution approaches to ordinary differential equations in the literature. However, very few are effective in solving non‐linear ordinary differential equations (ODEs), particularly when they are of order higher than one. With modern symbolic calculation pa