Numerical Solution of Nonlinear PDEs by Using Two-Level Iterative Techniques and Radial Basis Functions
الموضوعات : فصلنامه ریاضی
Sara Hosseini
1
(Qazvin Branch, Islamic Azad University)
الکلمات المفتاحية: First-order evolution equations, Two-level iterative techniques, Radial basis function, Newton's method for nonlinear equations,
ملخص المقالة :
‎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.