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1. ON NUMERICAL SOLUTION OF THIRD-ORDER BOUNDARY-VALUE PROBLEMS.

Author

Tirmizi, Ikram A.

Subjects
NUMERICAL analysis, APPROXIMATION theory, BOUNDARY value problems, DIFFERENTIAL equations, COMPLEX variables, MATHEMATICAL physics
Abstract

A fourth-order method is developed for the approximation of the solution of certain two-point boundary-value problems involving third-order linear and non-linear differential equations. The method arises from a four-point recurrence relation involving exponential terms, these being replaced by Padé approximants. The convergence of the method is discussed. The method is tested on two problems to demonstrate the practical usefulness of the approach [ABSTRACT FROM AUTHOR]

Published
1991
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