مشخصات پژوهش

عنوان	Stability and numerical approximation for Sivashinsky equation by‎ ‎ eigenfunction expansion
نوع پژوهش	مقاله ارائه شده کنفرانسی
کلیدواژه‌ها	Eigenvalue‎, ‎Eigenfunction‎, ‎Sivashinsky equation‎, ‎Stability
چکیده	This paper aims to investigate the stability and numerical approximation of Sivashinsky equations‎. ‎We can extend a stability theorem on the higher order elliptic equation such as biharmonic equation by the eigenfunction expansion‎. ‎Because RBFs do not generally vanish on the boundary‎, ‎they can not directly approximate a Dirichlet boundary problem by Galerkin method‎. ‎An auxiliary parametrized technique is used to convert a Dirichlet boundary condition to a Robin one‎. ‎We apply the Galerkin meshfree method based on radial basis functions to discretize the spatial variables and use a group presenting scheme for the time discretization‎. ‎Some experimental results will be presented to show the performance of the proposed method
پژوهشگران	مهدی مصری زاده (نفر اول)، کمال شانظری (نفر دوم)