On a Modified Transformation Method for Exact and Approximate Solutions of Linear Schrodinger Equations

摘要

In this paper, a proposed semi-analytical method referred to as modified transformation Method resulting from the modification of the classical Differential Transformation Method (DTM) is applied to linear Schrodinger Equations. The results obtained converge faster to their exact forms. Illustrative examples are used and the results show that this modified version is very efficient, reliable and better than the classical DTM and other semi- analytical methods, as less computational work is involved. Hence, it is strongly recommended for both linear and nonlinear partial differential equations (PDEs) and stochastic differential equations (SDEs).