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

محورهای موضوعی : فصلنامه ریاضی

Sara Hosseini ¹ (Qazvin Branch, Islamic Azad University)

تاریخ دریافت : 1396/08/01 تاریخ پذیرش : 1397/04/22 تاریخ انتشار : 1396/08/10

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

چکیده مقاله :

‎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.