Solitary Pattern Solutions of gBBM Equation using New Iterative Method (NIM)

Authors

  • Hamzeh Zureigat

    Department of Mathematics, Faculty of Science and Technology, Jadara University, 21110 Irbid, Jord

Received date: October 21, 2023

Accepted date: October 31, 2023

Published date: November 5, 2023

DOI:

https://doi.org/10.14419/5j1jpw81

Abstract

In this study, we focus on the solitary pattern solutions of the generalized Benjamin-Bona-Mahony equations (gBBM) and propose a new iterative method (NIM) for their numerical solution, given suitable initial conditions. Our proposed NIM approach generates numerical solutions in the form of a convergent power series with computationally simple components. Our results demonstrate that the NIM approach exhibits exceptional performance in terms of accuracy, efficiency, simplicity, stability, and reliability.

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How to Cite

Zureigat, H. (2023). Solitary Pattern Solutions of gBBM Equation using New Iterative Method (NIM). International Journal of Applied Mathematical Research, 12(1), 11-17. https://doi.org/10.14419/5j1jpw81

Received date: October 21, 2023

Accepted date: October 31, 2023

Published date: November 5, 2023