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

International Journal of Mathematical Modelling & Computations

مقاله 4، دوره 7، 4 (FALL) - شماره پیاپی 28، بهمن 2017، صفحه 277-285   

نوع مقاله: Full Length Article

نویسنده

Sara Hosseini^*

Qazvin Branch, Islamic Azad University

چکیده

‎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.

کلیدواژه‌ها

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