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

International Journal of Mathematical Modelling & Computations

مقاله 1، دوره 10، 1 (WINTER) - شماره پیاپی 37، خرداد 2020، صفحه 1-11   

نوع مقاله: Full Length Article

نویسندگان

reza Firouzdor^{* 1}؛ Neda Khaksary²؛ Atousa Emady³

¹Young Researcher Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran

²Department of Mathematics, Faculty of Science, Hamedan Branch, Islamic Azad University, Hamedan, Iran

³Department of Computer, Islamic Azad University, Najafabad, Esfahan, Iran

چکیده

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 is
based on linear composition of terms. By using RBF in functional integral equation, rst a
linear system 􀀀C = G will be achieved; then the coecients vector is dened, and nally the
target function will be approximated. In the end, the validity of the method is shown by a
number of examples.

کلیدواژه‌ها

Functional linear Voltrra integral equations؛ Radial basis function؛ interpolation؛ Gaussian functions