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A numerical method for solving two‐point boundary value problems for nonlinear ordinary differential equations
Author(s) -
Tewarson R. P.
Publication year - 1980
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620150313
Subject(s) - mathematics , boundary value problem , ordinary differential equation , nonlinear system , mathematical analysis , differential equation , physics , quantum mechanics
A numerical method for solving two‐point boundary value problems associated with systems of first‐order nonlinear ordinary differential equations is described. It needs four function evaluations at each point and is of order h 6 , where h is the space chop. Results of computational experiments, which include perturbation of the initial conditions, comparing this method with other known methods are given.