مشخصات پژوهش

عنوان	A quasi-linear technique applied to the method of fundamental solution
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Method of fundamental solution, Meshless method, Quasi-linear technique, Non-linear Poisson's equations.
چکیده	This paper proposes the use of a quasi-linear technique for the method of fundamental solution (MFS) to treat the non-linear Poisson-type equations. The MFS, which is a fully meshless method, often deals with the linear and non-linear poisson's equation by approximating a particular solution via employing radial basis functions (RBFs). The interpolation in terms of RBFs often leads to a badly conditioned problem which demands special cares. The current work suggests a linearization scheme for the non-homogeneous term in terms of the dependent variable resulting in Helmholtz-type equations whose fundamental solutions are available. Consequently, the MFS can be directly applied to the new linearized equation. The numerical examples illustrate the effectiveness of the presented method.
پژوهشگران	محمود فلاحی (نفر دوم)، کمال شانظری (نفر اول)