A New Computational Approach for Solving Fractional Order Telegraph Equations

Authors

  • A. Devi Department of Mathematics, NIILM University, Kaithal, Haryana-136027, India
  • M. Jakhar Department of Mathematics, NIILM University, Kaithal, Haryana-136027, India

DOI:

https://doi.org/10.3329/jsr.v13i3.50659

Abstract

In this work, a modified decomposition method namely Sumudu-Adomian Decomposition Method (SADM) is implemented to find the exact and approximate solutions of fractional order telegraph equations. The derivatives of fractional-order are expressed in terms of caputo operator. Some numerical examples are illustrated to examine the efficiency of the proposed technique. Solutions of fractional order telegraph equations are obtained in the form of a series solution. It is observed that the solutions of fractional order telegraph equations converge towards the solution of an integer-order problem, which confirmed the reliability of the suggested method.

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Published

2021-09-01

How to Cite

Devi, A., & Jakhar, M. (2021). A New Computational Approach for Solving Fractional Order Telegraph Equations. Journal of Scientific Research, 13(3), 715–732. https://doi.org/10.3329/jsr.v13i3.50659

Issue

Vol. 13 No. 3 (2021)

Section

Section A: Physical and Mathematical Sciences

License

Creative Commons License

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

© Journal of Scientific Research

Creative Commons License

Articles published in the "Journal of Scientific Research" are Open Access articles under a Creative Commons Attribution-ShareAlike 4.0 International license (CC BY-SA 4.0). This license permits use, distribution and reproduction in any medium, provided the original work is properly cited and initial publication in this journal. In addition to that, users must provide a link to the license, indicate if changes are made and distribute using the same license as original if the original content has been remixed, transformed or built upon.