APPLICATION OF THE SINC APPROXIMATION TO THE SOLUTION OF BRATU'S PROBLEM

الموضوعات : فصلنامه ریاضی

J. Rashidinia ¹ (Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran Iran, Islamic Republic of)
N. Taher ² (Iran, Islamic Republic of)

تاريخ الإرسال : 07 الخميس , رجب, 1437 تاريخ التأكيد : 07 الخميس , رجب, 1437 تاريخ الإصدار : 16 الثلاثاء , رمضان, 1437

الکلمات المفتاحية: Sinc function, Sinc-Collocation, Sinc-Galerkin, Boundary value problems, Liouville-Bratu-Gelfand problem,

ملخص المقالة :

In this work, we study the performance of the sinc-Collocation method for solving Bratu's problem. For different choices of step size, we consider the maximum absolute errors in the solutions at sinc grid points and tabulated in tables. The comparison of the obtained results veri ed that this method converges to the exact solution rapidly and with