عنوان	Local Petrov-Galerkin meshfree method based on radial point interpolation for the Numerical solution of 2D linear hyperbolic equations with variable coefficients
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	Meshfree methods‎, ‎Petrov-Galerkin method‎, ‎Radial basis functions‎, ‎Meshless local radial point interpolation method‎, ‎linear hyperbolic equations
چکیده	‎In this work‎, ‎we apply the local Petrov-Galerkin method based on radial basis functions to solving the two dimensional linear hyperbolic equations with variable coefficients subject to given appropriate initial and boundary conditions‎. ‎Due to the presence of variable coefficients of the differential operator‎, ‎special treatment is carried out in order to apply Green's theorem and derive the variational formulation‎. ‎We use the radial point interpolation method to construct shape functions and a Crank-Nicolson finite difference scheme is employed to approximate the time derivatives‎. ‎The stability‎, ‎convergence and error analysis of the method are also discussed and theoretically proven‎. ‎Some numerical examples are presented to examine the efficiency and accuracy of the proposed method‎.
پژوهشگران	مسعود پندار (نفر اول)، کمال شانظری (نفر دوم)