B-SPLINE METHOD FOR TWO-POINT BOUNDARY VALUE PROBLEMS

الموضوعات : فصلنامه ریاضی

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)

تاريخ الإرسال : 08 الجمعة , رجب, 1437 تاريخ التأكيد : 08 الجمعة , رجب, 1437 تاريخ الإصدار : 01 السبت , جمادى الثانية, 1436

الکلمات المفتاحية: Two-point boundary value problem, Convergence analysis, Quartic B-spline, error,

ملخص المقالة :

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.