Using Radial Basis Functions for Numerical Solving Two-Dimensional Voltrra Linear Functional Integral Equations
محورهای موضوعی : 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
)
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.
