Numerical Solution of The First-Order Evolution Equations by Radial Basis Function

International Journal of Mathematical Modelling & Computations

مقاله 6، دوره 8، 1 (WINTER) - شماره پیاپی 29، فروردین 2018، صفحه 61-66   

نوع مقاله: Full Length Article

نویسنده

Sara Hosseini^*

Qazvin Branch, Islamic Azad University

چکیده

‎In this work‎, ‎we consider the nonlinear first-order evolution‎
‎equations‎: ‎$u_t=f(x,t,u,u_x,u_{xx})$ for $0<t<\infty$‎, ‎subject‎
‎to initial condition $u(x,0)=g(x)$‎, ‎where $u$ is a function of‎
‎$x$ and $t$ and $f$ is a known analytic function‎. ‎The purpose of‎
‎this paper is to introduce the method of RBF to existing method‎
‎in solving nonlinear first-order evolution equations and also the‎ ‎method is implemented in four numerical examples‎. ‎The results‎
‎reveal that the technique is very effective and simple.

کلیدواژه‌ها

‎First-order evolution equations؛ ‎Radial basis‎ ‎function؛ Newton's method؛ nonlinear equations‎

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