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

Subject Areas : International Journal of Mathematical Modelling & Computations

Sara Hosseini ¹

1 - Qazvin Branch, Islamic Azad University

Received: 2017-02-12 Accepted : 2017-08-07 Published : 2017-08-01

Keywords: Radial basis functions&lrm, , &lrm, Variational iteration&lrm, method, , &lrm, Parabolic equations&lrm, , Partial Differential Equations,

Abstract :

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