مشخصات پژوهش

عنوان	An RBF-PUM finite difference scheme for Forward-backward heat equation
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	‎Forward-backward heat problem, Meshless methods, RBF collocation method, Partition of unity
چکیده	‎In this paper‎, ‎a truly meshless method based on the partition of unity method (PUM) is developed for the numerical solution of the two-dimensional forward-backward heat equations‎. ‎We propose a novel method according to the domain decomposition scheme and RBF-PUM technique‎. ‎Particularly‎, ‎the physical domain needs to be separated into two subdomains each defining a forward or a backward subproblem‎. ‎The subproblems have been treated by a radial basis function meshfree method based on partition of unity for spatial dimension and a finite difference scheme for the time derivative‎. ‎In addition‎, ‎we prove that the time discrete scheme is stable and convergent‎. ‎Some numerical experiments are going to be presented to show the performance of the proposed method‎. % ‎our collocation scheme and some computational aspects will be discussed‎.
پژوهشگران	یعقوب آذری (نفر چهارم)، کمال شانظری (نفر سوم)، سیامک بانه (نفر دوم)، غلامرضا گرمنجانی (نفر اول)