Convergence of Differential Transform Method for Ordinary Differential Equations
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 24, Issue 6
Abstract
Differential transform method (DTM) as a method for approximating solutions to differential equations have many theorems that are often used without recourse to their proofs. In this paper, attempts are made to compile these proofs. This paper also proceeds to establish the convergence of the DTM for ordinary differential equations. This paper establishes that if the solution of an ordinary differential equation can be written as Taylors' expansion, then the solution can be obtained using the DTM. This is also demonstrated with some numerical examples.
Authors and Affiliations
A. S. Oke
Keywords
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- EP ID EP322599
- DOI 10.9734/JAMCS/2017/36489
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