Convergence of Differential Transform Method for Ordinary Differential Equations

What is it about?

This paper gives a comprehensive proof of some common theorems that are often used in practice when solving an ordinary differential equation using the differential transform method. A proof of that Differential Transform Method converges for any linear ordinary differential equation is also provided in this paper.

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Why is it important?

It serves a reference point for any researcher who would wish to use the theorems without proofs.