SPLINE COLLOCATION METHOD FOR SOLVING BOUNDARY VALUE PROBLEMS

الموضوعات : فصلنامه ریاضی

A. Lamnii ¹ , H. Mraoui ²

1 - Faculty of Science and Technology, University Hassan first, Settat, Morocco Morocco
2 - Annamalai University Morocco

تاريخ الإرسال : 08 الجمعة , رجب, 1437 تاريخ التأكيد : 08 الجمعة , رجب, 1437 تاريخ الإصدار : 09 الخميس , جمادى الأولى, 1434

الکلمات المفتاحية: collocation method, Boundary-value problems, Spline interpolant,

ملخص المقالة :

The spline collocation method is used to approximate solutions of boundary value problems. The convergence analysis is given and the method is shown to have second-order convergence. A numerical illustration is given to show the pertinent features of the technique.