IJPAM: Volume 106, No. 3 (2016)

DIRECTLY SOLVING SECOND ORDER LINEAR BOUNDARY
VALUE PROBLEMS OF ORDINARY DIFFERENTIAL
EQUATIONS

Ra'ft Abdelrahim$^1$, Z. Omar$^2$
$^{1,2}$Department of Mathematics
School of Quantitative Sciences
College of Art and Sciences
Univeristi Utara Malaysia
MALAYSIA


Abstract. In this article, boundary value problems of second order linear ordinary differential equations are solved directly using hybrid block one-step method. Power series of order six is adopted as basis function to derive this method through collocation and interpolation approach. Shooting method is employed to transform boundary value problem into initial value problem. Then hybrid block one step is used to approximate the solution. The performance of the new method is shown by solving some boundary value problems examined by previous methods.

Received: December 14, 2015

AMS Subject Classification: 35J25, 35Q60, 65L06, 65L05

Key Words and Phrases: hybrid one step, block method, second order boundary value problem, three off step points, shooting method

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DOI: 10.12732/ijpam.v106i3.10 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 3
Pages: 841 - 849


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