Numerical ‎S‎olution of Two-Dimensional Hyperbolic Equations with Nonlocal Integral Conditions Using Radial Basis Functions‎

الموضوعات : مجله بین المللی ریاضیات صنعتی

E. Shivanian ¹ (Department of Mathematics, Imam Khomeini International University, Qazvin, Iran)
M. Aslefallah ² (Department of Mathematics, Imam Khomeini International University, Qazvin, Iran)

تاريخ الإرسال : 27 السبت , ذو الحجة, 1436 تاريخ التأكيد : 04 السبت , شوال, 1437 تاريخ الإصدار : 25 الثلاثاء , ربيع الثاني, 1440

الکلمات المفتاحية: Radial basis function, Kansa method, Finite differences $theta -$ method, Hyperbolic equations with purely integral conditions,

ملخص المقالة :

This paper proposes a numerical method to the two-dimensional hyperbolic equations with nonlocal integral conditions. The nonlocal integral equation is of major challenge in the frame work of the numerical solutions of PDEs. The method benefits from collocation radial basis function method, the generalized thin plate splines radial basis functions are used.Therefore, it does not require any struggle to determine shape parameter (In other RBFs, it is time-consuming step).