B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS
Subject Areas : International Journal of Mathematical Modelling & Computations
Jalil Rashidinia
1
(
Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran
Iran, Islamic Republic of
)
Shokofeh Sharifi
2
(
Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran
Iran, Islamic Republic of
)
Keywords: Two-point boundary value problem, Convergence analysis, Quartic B-spline, error,
Abstract :
In this work the collocation method based on quartic B-spline is developed and applied to two-point boundary value problem in ordinary diferential equations. The error analysis and convergence of presented method is discussed. The method illustrated by two test examples which verify that the presented method is applicable and considerable accurate.