Analytic and Numerical Solutions ofTime-Fractional Linear SchrödingerEquation
2016
Fractional Schrodinger equation is a basic equation in fractional quantum mechanics. In
this paper, we consider both analytic and numerical solutions of time-fractional linear Schrodinger
Equations. This is done via a proposed semi-analytical method upon the modification of the classical
Differential Transformation Method (DTM). Some illustrative examples are used; the results obtained
converge faster to their exact forms. This shows that this modified version is very efficient, and
reliable; as less computational work is involved, even without given up accuracy. Therefore, it is
strongly recommended for both linear and nonlinear time-fractional partial differential equations
(PDEs) with applications in other areas of applied sciences, management, and finance.
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