Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrdinger equations
作者： A.H. Bhrawy , M.A. Zaky
DOI: 10.1016/J.CAMWA.2016.11.019
关键词:
摘要: As a natural generalization of the fractional Schrdinger equation, variable-order equation has been exploited to study quantum phenomena. In this paper, we develop an exponentially accurate JacobiGaussLobatto collocation (JGL-C) method solve equations in one dimension (1D) and two dimensions (2D). method, aforementioned problem is reduced system ordinary differential (ODEs) time variable. result, propose efficient schemes for dealing with numerical solutions initial value problems nonlinear equations, based on implicit RungeKutta (IRK) fourth order other JacobiGaussRadau (JGR-C) method. The validity effectiveness methods are demonstrated by solving three examples 1D 2D. convergence graphically analyzed. results demonstrate that proposed powerful algorithms high accuracy partial equations.
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