Using Radial Basis Functions for Numerical Solving Two-Dimensional Voltrra Linear Functional Integral Equations

الموضوعات : فصلنامه ریاضی

reza Firouzdor ¹ (Young Researcher Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran)
Neda Khaksary ² (Department of Mathematics, Faculty of Science, Hamedan Branch, Islamic Azad University, Hamedan, Iran)
Atousa Emady ³ (Department of Computer, Islamic Azad University, Najafabad, Esfahan, Iran)

تاريخ الإرسال : 04 الأحد , ربيع الثاني, 1441 تاريخ التأكيد : 06 الأحد , رجب, 1441 تاريخ الإصدار : 06 الأحد , رجب, 1441

الکلمات المفتاحية: interpolation, Radial Basis Function, Functional linear Voltrra integral equations, Gaussian functions,

ملخص المقالة :

This article is an attempt to obtain the numerical solution of functional linear Voltrra two-dimensional integral equations using Radial Basis Function (RBF) interpolation which isbased on linear composition of terms. By using RBF in functional integral equation, rst alinear system 􀀀C = G will be achieved; then the coecients vector is dened, and nally thetarget function will be approximated. In the end, the validity of the method is shown by anumber of examples.