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

محورهای موضوعی : فصلنامه ریاضی

Sara Hosseini ¹ (Qazvin Branch, Islamic Azad University)

تاریخ دریافت : 1395/11/24 تاریخ پذیرش : 1396/05/16 تاریخ انتشار : 1396/05/10

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

چکیده مقاله :

‎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.