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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 اصل مقاله (443.59 K) | ||
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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آمار تعداد مشاهده مقاله: 288 تعداد دریافت فایل اصل مقاله: 281 |