Numerical Solution of The Parabolic Equations by Variational Iteration Method and Radial Basis Functions

Abstract

‎In this work‎, ‎we consider the parabolic equation‎: ‎$u_t-u_{xx}=0$‎.<br /> ‎The purpose of this paper is to introduce the method of‎<br /> ‎variational iteration method and radial basis functions for‎<br /> ‎solving this equation‎. ‎Also, the method is implemented to three‎<br /> ‎numerical examples‎. ‎The results reveal‎<br /> ‎that the technique is very effective and simple.