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

  • Muhammad Saqlain Department of Mathematics, Lahore Garrison University, Lahore, Pakistan
  • Wajeeha Irshad Department of Applied Psychology, Lahore Garrison University, Lahore, Pakistan
  • Usman Bashir Department of Mathematics, Lahore Garrison University, Lahore, Pakistan
  • Ghulam Murtaza Department of Mathematics, Lahore Garrison University, Lahore, Pakistan
DOI: https://doi.org/10.32350/sir.24.01
Keywords: Elzaki transform method (ETM), differential transform method (DTM), exact solutions

Abstract

Abstract Views: 91

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.

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Published
2018-10-31
How to Cite
1.
Muhammad Saqlain, Wajeeha Irshad, Usman Bashir, Ghulam Murtaza. Numerical Solutions for Third Order Ordinary Differential Equation by Differential Transform Method & Elzaki Transform Method. Sci Inquiry Rev. [Internet]. 2018Oct.31 [cited 2024Nov.23];2(4):01-2. Available from: https://journals.umt.edu.pk/index.php/SIR/article/view/332
Issue
Vol 2 No 4: October 2018
Section
Orignal Article

Copyright (c) 2018 Muhammad Saqlain, Wajeeha Irshad, Usman Bashir, Ghulam Murtaza

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.