Solution of Integro-Differential Difference equations via Differential Transform Method

Year 2021, Volume: 18 Issue: 1, 33 - 46, 01.05.2021

Mustafa Tolga Yavuz İbrahim Ozkol

Abstract

This study presents the application of semi-analytical and numerical solution technique to both Volterra and Fredholm integro-differential difference equations by employing Differential Transform Method depending on Taylor series expansion and introducing the new differential transform theorems with their proofs. To illustrate the computational efficiency and the reliability of the method to other common numerical methods in the open literature, some examples are carried out it is found that the results are highly accurate and reliable.

Keywords

Differential transform method, Fredholm and Volterra integrals, Integro-differential difference equations, Taylor series expansion

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