Solution of Integro-Differential Difference equations via Differential Transform Method

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.