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A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation
2018
Discrete and Continuous Dynamical Systems. Series S
In this study, an efficient semi-discrete method based on the twodimensional Legendre wavelets (2D LWs) is developed to provide approximate solutions for nonlinear variable-order time fractional two-dimensional (2D) Schrödinger equation. First, the variable-order time fractional derivative involved in the considered problem is approximated via the finite difference technique. Then, by help of the finite difference scheme and the theta-weighted method, a recursive algorithm is derived for the
doi:10.3934/dcdss.2020295
fatcat:k5prdiesqzaspjhr6hph6ecu3q