Application to Differential Transformation
Method for Solving Eight Order Ordinary
Differential Equations

Prof. Narhari Onkar Warade; Dr. Prabha Rastogi

doi:https://doi.org/10.14445/22315373/IJMTT-V61P525

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 61 | Number 3 | Year 2018 | Article Id. IJMTT-V61P525 | DOI : https://doi.org/10.14445/22315373/IJMTT-V61P525

Application to Differential Transformation Method for Solving Eight Order Ordinary Differential Equations

Prof. Narhari Onkar Warade, Dr. Prabha Rastogi

Citation :

Prof. Narhari Onkar Warade, Dr. Prabha Rastogi, "Application to Differential Transformation Method for Solving Eight Order Ordinary Differential Equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 61, no. 3, pp. 177-185, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V61P525

Abstract

The Zhou's differential transform method (ZDTM) is approximate method which construct analytical solution in the firm of polynomial which can be easily applied o many linear and non linear problems by reducing lot of computational work as compare to Tayler series for higher order linear differential equations initial value problems. In this paper the definition and operation of the one dimensional Zhou's differential transform method and investigate the particular exact solutions of eight order ordinary differential equations initial value problems by explaining concept of ZDTM obtain solution of three numerical examples for demonstration. the results are compared with exact solution with graphs. It is observed that solutions obtained from this ZDTM technique have very high degree of accuracy.

Keywords

Ordinary differential equitations zhou’s Method (DTM), Initial value problem

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