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

Author(s):

Sara Hosseini *

Message:
Article Type:
Research/Original Article (بدون رتبه معتبر)
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.
Keywords:

Radial basis functions‎ , ‎Variational iteration‎ method , ‎Parabolic equations‎ , Partial Differential Equations

Language:
English
Published:
International Journal of Mathematical Modelling & Computations, Volume:7 Issue: 3, Summer 2017
Pages:
221 to 229
https://www.magiran.com/p1951754