مشخصات پژوهش

عنوان	Numerical solution of nonlinear reaction-diffusion equations using meshless radial point Hermite interpolation method‎
نوع پژوهش	مقاله ارائه شده کنفرانسی
کلیدواژه‌ها	Nonlinear reaction-diffusion equation‎, ‎Meshless method‎, ‎Radial basis funtion (RBF)‎, ‎Radial point Hermite interpolation (RPHI) method
چکیده	Nonlinear reaction-diffusion equations are used to model many nonlinear phenomena‎. ‎In this work we present a numerical method to the solve two-dimentional nonlinear reaction-diffusion equations‎. ‎Meshless and collocation techniques using radial basis functions (RBFs) with the help of radial point Hermite interpolation (RPHI) method are used to construct basis functions so called shape functions‎. ‎Due to the use of meshless method‎, ‎no mesh generation is done in the spatial domain‎. ‎Time discretization is performed using the finite difference method and Taylor expansion is used for the nonlinear part‎. ‎The accuracy and efficiency of the method are checked with a numerical example‎. ‎Results show that this procedure is stable through the time
پژوهشگران	کمال شانظری (نفر دوم)، مسعود پندار (نفر اول)