Volume no :3, Issue no: 2, May (2010)

THEORETICAL AND NUMERICAL STUDY FOR TWO POINT BOUNDARY VALUE PROBLEMS

Author's: K. R. Raslan, H. K. Al-jeaid and K. M. Aboualnaja
Pages: [287] - [296]
Received Date: May 20, 2010
Submitted by:

Abstract

In this paper, we consider the numerical solution of two point boundary value problems by using collocation method with quartic and quintic splines as the approximating function. A symptomatic bound on the maximum error shows that in certain cases, the quintic spline can give higher accuracy by a factor of between one and two compared with the quartic spline case. Numerical tests support the theoretical results.

Keywords

numerical method, numerical approximation and evaluation, numerical approximation of solutions.