مشخصات پژوهش

عنوان	Meshless Galerkin method based on RBFs and reproducing kernel for quasi-linear parabolic equations with Dirichlet boundary conditions
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	‎Galerkin meshless method‎, ‎Radial basis functions‎, ‎Reproducing kernel Hilbert space method‎, ‎Quasi-linear parabolic equations‎.
چکیده	‎The main aim of this paper is to present a hybrid scheme of both meshless Galerkin and reproducing kernel Hilbert space methods‎. ‎The Galerkin meshless method is a powerful tool for solving a large class of multi-dimension problems‎. ‎Reproducing kernel Hilbert space method is an extremely efficient approach to obtain an analytical solution for ordinary or partial differential equations appeared in vast areas of science and engineering‎. ‎The error analysis and convergence show that the proposed mixed method is very efficient‎. ‎Since the solution space spanned by radial basis functions do not directly satisfy essential boundary conditions‎, ‎an auxiliary parameterized technique is employed‎. ‎Theoretical studies indicate that this new method is very stable‎, ‎though a parameterized problem is employed instead of the main problem‎.
پژوهشگران	کمال شانظری (نفر دوم)، مهدی مصری زاده (نفر اول)