Efficient Developments to Heuristic Approach of the General Form of the Differential Transformation Algorithms

Nizar Hafiz AbuGhannam(1*), Iyad Suwan(2)

(1) Department of Mathematics and Statistics, Arab American University, Palestine, State of
(2) Department of Mathematics and Statistics, Arab American University,
(*) Corresponding author


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Abstract


In this paper, efficient developments are pursued on the Differential Transformation Method algorithms. These developments are able to reduce the amount of time used to carry out these algorithms by locating and truncating number of the unnecessary calculated terms. Implementing the modified algorithms demonstrates rapid performance in obtaining results. Hence, the proposed developments are reliable and efficient in decreasing the time cost elapsed in computing the terms of the series solution without encountering any impact in accuracy performance.
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Keywords


Differential Transform Method, Partial Differential Equations, Running Time Algorithm, Iterative Solution, Convergence Acceleration

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