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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2018 by IJMTT Journal
Volume-61 Number-3
Year of Publication : 2018
Authors : Prof. Narhari Onkar Warade, Dr. Prabha Rastogi
  10.14445/22315373/IJMTT-V61P525

MLA

MLA Style: 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 61.3 (2018): 177-185.

APA Style: Prof. Narhari Onkar Warade, Dr. Prabha Rastogi (2018). Application to Differential Transformation Method for Solving Eight Order Ordinary Differential Equations. International Journal of Mathematics Trends and Technology, 61(3), 177-185.

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.

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