Numerical Solutions for Third Order Ordinary Differential Equation by Differential Transform Method & Elzaki Transform Method

Abstract

Differential transformation provides semi-analytical arithmetical solution. This approach is proficient at reducing calculation and works readily. In this paper, we use Elzaki transform method (ETM) and differential transformation method (DTM) to get a numerical result of the third order ordinary differential equation. We compare the results to see which method converges quickly with the true solution. We also offer numerical results with errors to show the efficiency of the methods.