مشخصات پژوهش

عنوان	On the convergence analysis and stability of the RBF-adaptive method for the forward-backward heat problem in 2D
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	‎Forward-backward heat problem, Meshless methods, RBF collocation, Adaptive distribution‎.
چکیده	‎The ill-posedness of the forward-backward heat problem arises in boundary layer problems‎, ‎fluid dynamics‎, ‎plasma physics‎, ‎astrophysics and the study of propagation of an electron beam through the solar corona‎. ‎In this study‎, ‎a new truly meshless method is developed for the numerical solution of the two dimensional forward-backward heat equation‎. ‎We propose a novel method based on the domain decomposition scheme and RBF method with an adaptive nodes technique‎. ‎Specifically‎, ‎the physical domain is divided into two subdomains each defining a forward or a backward subproblem‎. ‎The resulting subproblems are dealt with by a radial basis function meshfree method for spatial dimension and a finite difference scheme for the time derivative followed by an adaptive algorithm to achieve a desired accuracy‎. ‎In addition‎, ‎we prove that the time discrete scheme is stable and convergent‎. ‎Some numerical experiments will be presented to show the performance of our collocation scheme‎.
پژوهشگران	کمال شانظری (نفر دوم)، سیامک بانه (نفر اول)