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

الموضوعات : فصلنامه ریاضی

Sara Hosseini ¹

1 - Qazvin Branch, Islamic Azad University

تاريخ الإرسال : 15 الأحد , جمادى الأولى, 1438 تاريخ التأكيد : 15 الإثنين , ذو القعدة, 1438 تاريخ الإصدار : 09 الثلاثاء , ذو القعدة, 1438

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

ملخص المقالة :

‎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.