Application of Differential Transformation Method for Solving Eighth-order Boundary Value Problems

Authors

  • Che Haziqah Che Hussin Preparatory Centre of Science and Technology, Universiti Malaysia Sabah, Jalan UMS, 88400 Kota Kinabalu, Sabah, Malaysia.
  • Arif Mandangan Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Jalan UMS, 88400 Kota Kinabalu, Sabah, Malaysia.

DOI:

https://doi.org/10.9734/bpi/aaer/v15/8535D

Keywords:

Differential transformation method, ordinary differential equations, series solution, boundary value problems

Abstract

We used the Differential Transformation Method to solve linear and nonlinear eighth-order boundary value problems in this study. The error of DTM is then calculated, and the results are compared to those of other methods such as the modified implementation of the variational iteration method (MVAM), the homotopy perturbation method (HPM), and the modified Adomian decomposition method (MADM).

We compared each method's errors to exact solutions. To demonstrate the precision and efficiency of the current method, we presented many numerical examples.In contrast to the results obtained by other methods, the DTM proved to be more reliable.  

Published

2021-06-11

How to Cite

Che Haziqah Che Hussin, & Arif Mandangan. (2021). Application of Differential Transformation Method for Solving Eighth-order Boundary Value Problems. Advanced Aspects of Engineering Research Vol. 15, 92–100. https://doi.org/10.9734/bpi/aaer/v15/8535D

Issue

Advanced Aspects of Engineering Research Vol. 15

Section

Chapters