A newly formulated algorithm for the numerical solution of nonlinear Klein-Gordon equation

Authors

  • K. I. Falade Kano University of Science and Technology, Wudil Kano State, Nigeria
  • A. T. Tiamiyu Federal University of Technology, Minna, Nigeria

Abstract

This paper proposes fast and reliable algorithm for the numerical solution of the nonlinear Klein-Gordon partial differential equation. A modified new iterative method was employed to formulate six steps algorithm. To  demonstrate the efficiency of the proposed algorithm, we considered four examples from available literature, and  the numerical solutions obtained confirmed that the proposed algorithm is efficient and reliable. 

Author Biographies

K. I. Falade , Kano University of Science and Technology, Wudil Kano State, Nigeria

Department of Mathematics, Kano University of Science and Technology, Wudil, Kano State, Nigeria  (Senior Lecturer)

A. T. Tiamiyu, Federal University of Technology, Minna, Nigeria

Department of Mathematics, Federal University of Technology, Minna, Nigeria

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Published

2022-04-28

How to Cite

Falade , K. I., & Tiamiyu, A. T. (2022). A newly formulated algorithm for the numerical solution of nonlinear Klein-Gordon equation . Journal of the Nigerian Mathematical Society, 41(1), 13–25. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/780

Issue

Vol. 41 No. 1 (2022): JNMS:

Section

Articles

License

Creative Commons License

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