B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS

Rashidinia, Jalil; Sharifi, Shokofeh

Manuscript ID : 521886 Visit : 256 Page: 111 - 125

Article Type: Original Research

B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS

Subject Areas : International Journal of Mathematical Modelling & Computations

1 - Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran Iran, Islamic Republic of
2 - Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran Iran, Islamic Republic of

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2015-03-21

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.

References:

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B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS