Numerical Solution of Nonlinear PDEs by Using Two-Level Iterative Techniques and Radial Basis Functions

Subject Areas : International Journal of Mathematical Modelling & Computations

Sara  Hosseini ¹ (Qazvin Branch, Islamic Azad University)

Received: 2017-10-23 Accepted : 2018-07-13 Published : 2017-11-01

Keywords: ‎First-order evolution equations‎, ‎Two-level‎ ‎iterative techniques‎, ‎Radial basis function‎, ‎Newton's method for‎ ‎nonlinear equations‎,

Abstract :

‎Radial basis function method has been used to handle linear and‎ ‎nonlinear equations‎. ‎The purpose of this paper is to introduce the method of RBF to‎ ‎an existing method in solving nonlinear two-level iterative‎ ‎techniques and also the method is implemented to four numerical‎ ‎examples‎. ‎The results reveal that the technique is very effective‎ ‎and simple. The main property of the method lies in its‎ ‎flexibility and ability to solve nonlinear equations accurately‎ ‎and conveniently.