A Semi Analytical Approach to the Solution of Telegraph Equations

Authors

DOI:

https://doi.org/10.15575/kubik.v9i2.37695

Keywords:

Telegraph equations, Semi-analytic iterative method, Differential transform method, Variational iteration method, Homotopy perturbation method

Abstract

In this paper, we apply the semi analytic iterative method to find approximate solutions of telegraph equations. To determine the accuracy and effectiveness of the method, five numerical examples are given and the results obtained are close to the exact solution. Furthermore, the absolute errors produced by our method are closer to zero than those from the other methods used in the literature. The computational simplicity, efficiency, precision and reliability of the semi analytic iterative method has been verified, making it the method of choice for solving a broad variety of linear and nonlinear partial differential equations.

Author Biography

Christian Kasumo, Mulungushi University, Kabwe, Zambia

Senior Lecturer Department of Mathematics and Statistics

References

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Published

2024-11-21

How to Cite

Kasumo, C. (2024). A Semi Analytical Approach to the Solution of Telegraph Equations. KUBIK: Jurnal Publikasi Ilmiah Matematika, 9(2), 278–294. https://doi.org/10.15575/kubik.v9i2.37695

Issue

Vol. 9 No. 2 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika

Section

Articles

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