مشخصات پژوهش

عنوان	Stability and numerical approximation for a special class of semilinear parabolic equations on the Lipschitz bounded regions‎: ‎Sivashinsky equation
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	eigenvalue‎, ‎eigenfunction‎, ‎Galerkin meshless method‎, ‎Sivashinsky equation‎, ‎stability.
چکیده	This paper aims to investigate the stability and numerical approximation of the Sivashinsky equations‎. ‎We apply the Galerkin meshfree method based on the radial basis functions (RBFs) to discretize the spatial variables and use a group presenting scheme for the time discretization‎. ‎Because the RBFs do not generally vanish on the boundary‎, ‎they can not directly approximate a Dirichlet boundary problem by Galerkin method‎. ‎To avoid this difficulty‎, ‎an auxiliary parametrized technique is used to convert a Dirichlet boundary condition to a Robin one‎. ‎In addition‎, ‎we extend a stability theorem on the higher order elliptic equations such as the biharmonic equation by the eigenfunction expansion‎. ‎Some experimental results will be presented to show the performance of the proposed method‎.
پژوهشگران	کمال شانظری (نفر دوم)، مهدی مصری زاده (نفر اول)