عنوان	A method of lines for solving the nonlinear time- and space-fractional Schrodinger equation via stable Gaussian radial basis function interpolation
نوع پژوهش	مقاله چاپ‌شده
کلیدواژه‌ها	.Caputo derivative, Nonlinear, Fractional Schrodinger equation, Radial basis functions, Riesz derivative
چکیده	The stable Gaussian radial basis function (RBF) interpolation is applied to solve the time and space-fractional Schrodinger equation (TSFSE) in one and two-dimensional cases. In this regard, the fractional derivatives of stable Gaussian radial basis function interpolants are obtained. By a method of lines, the computations of the TSFSE are converted to a coupled system of Caputo fractional ODEs. To solve the resulting system of ODEs, a high-order nite di erence method is proposed, and the computations are reduced to a coupled system of nonlinear algebraic equations, in each time step. Numerical illustrations are performed to certify the ability and accuracy of the new method. Some comparisons are made with the results in other literature.
پژوهشگران	بهنام سپهریان (نفر اول)، زهرا شامحمدی (نفر دوم)