Using Radial Basis Functions for Numerical Solving Two-Dimensional Voltrra Linear Functional Integral Equations
محورهای موضوعی : فصلنامه ریاضیreza Firouzdor 1 , Neda Khaksary 2 , Atousa Emady 3
1 - Young Researcher Elite Club, Central Tehran Branch, Islamic Azad University,
Tehran, Iran
2 - Department of Mathematics, Faculty of Science, Hamedan Branch, Islamic Azad University, Hamedan, Iran
3 - Department of Computer, Islamic Azad University, Najafabad, Esfahan, Iran
کلید واژه: interpolation, Radial Basis Function, Functional linear Voltrra integral equations, Gaussian functions,
چکیده مقاله :
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.
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.
