مشخصات پژوهش

عنوان	A meshfree method with a non-overlapping domain decomposition method based on TPS for solving the forward-backward heat equation in two-dimension
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	‎Radial basis functions‎, ‎Meshless method‎, ‎Thin plate spline‎, ‎Domain decomposition‎, ‎Finite difference‎, ‎stability and convergence‎.
چکیده	‎We present a truly meshless method based on the thin plate splines for the numerical solution of the two dimensional forward-backward heat equation and give a robust formulation for the proposed method‎. ‎The physical domain is divided into two subdomains each of which defines a forward or a backward subproblem‎. ‎The resulting subproblems are treated by a radial basis function method for spatial dimension and a finite difference scheme for the time derivative followed by an iterative domain decomposition method to achieve a desired accuracy‎. ‎In addition‎, ‎we propose a combined use of an interpolation and the collocation method‎, ‎in the iterations to update the interface boundary solution‎. ‎Furthermore‎, ‎we show that the time discretization scheme is unconditionally stable and convergent‎. ‎Finally‎, ‎some numerical examples will be presented to demonstrate the efficiency of the proposed method and some computational aspects will be discussed‎.
پژوهشگران	کمال شانظری (نفر اول)، سیامک بانه (نفر دوم)