ON THE NUMERICAL SIMULATION OF TIME-SPACE FRACTIONAL COUPLED NONLINEAR SCHRÖDINGER EQUATIONS UTILIZING WENDLAND’S COMPACTLY SUPPORTED FUNCTION COLLOCATION METHOD

This research describes an efficient numerical method based on Wendland’s compactly supported functions to simulate the time-space fractional coupled nonlinear Schrödinger (TSFCNLS) equations. Here, time and space derivatives are considered in terms of Caputo Conformable derivatives, respectively. The present discussion is following ways: we first approximate derivative proposed equation by a scheme order O(∆t2−α), 0 < α 1 then Crank-Nicolson employed mentioned discretize Second, applying linear difference avoid solving systems. In this way, have linear, suitable calculation scheme. Then, conformable established for stability analysis suggested also examined similar way classic Von-Neumann technique governing efficiency accuracy verified two examples.