Solving Higher Order Ordinary Differential Equation (ODE) by using Differential Transformation Method (DTM)

Authors

  • WAN NUR ATHIRA NASRINA WAN AZIZ UNIVERSITI TUN HUSSEIN ONN MALAYSIA
  • Noor Azliza Abd Latif Universiti Tun Hussein Onn Malaysia

Keywords:

Differential Transfrom Method, Higher order ordinary differential equation

Abstract

The ordinary differential equation (ODE) has been important in the mathematical study. Commonly, higher-order ODEs will be used to form the formulation of a real-world problem. But the higher-order ODEs are complex to solve. Therefore, the differential transformation method (DTM) has been introduced. The DTM is semi numerical method that resolves the equation in the form of a polynomial. This method are proved to reduce the computational work. In this study, two different order of ODEs has been solved by using Maple software. The numerical solution derived by DTM has been compared with the numerical solution from the Adomian decomposition method (ADM) to see the accuracy of the method to the exact value. By the end of the research, the effectiveness of the DTM is proven to solve the higher-order ODEs with the minimum absolute error compared to the other method.

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Published

03-08-2022

Issue

Vol. 2 No. 1 (2022): EKST

Section

Articles

How to Cite

WAN AZIZ, W. N. A. N., & Abd Latif, N. A. (2022). Solving Higher Order Ordinary Differential Equation (ODE) by using Differential Transformation Method (DTM). Enhanced Knowledge in Sciences and Technology, 2(1), 385-392. https://publisher.uthm.edu.my/periodicals/index.php/ekst/article/view/5474