A NONSTANDARD FINITE DIFFERENCE NUMERICAL SOLUTION FOR THE EQUAL-WIDTH WAVE EQUATION

Authors

H. A. Elagamy, Dept. Of Mathematics and Basic science, Ministry of Higher Education, Higher Future institute of Engineering and Technology in Mansour, Egypt
Z. F. Abushaeer, Department of Basic Science, Higher Institute of Engineering and Technology, Kafrelsheikh, Egypt.
Galal I. El-Baghdady, Department of Mathematics & Engineering Physics, Faculty of Engineering, Mansoura University, Egypt.Follow

Subject Area

Mathematics and Engineering Physics

Article Type

Original Study

Abstract

This study aims to develop an unconditionally stable numerical scheme for the equalwidth wave equation. An unconventional finite difference discretization is employed to accomplish this. The John von Neumann methodology is used to examine the stability of the suggested method, and the suggested scheme's precision is established. Numerical results with comparisons are shown to demonstrate the viability of the suggested approach for the equal-width wave equation.

Keywords

Equal width wave equation; conservation laws; nonstandard finite difference method; and stability.

Creative Commons License

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

Recommended Citation

Elagamy, H. A.; Abushaeer, Z. F.; and El-Baghdady, Galal I. (2023) "A NONSTANDARD FINITE DIFFERENCE NUMERICAL SOLUTION FOR THE EQUAL-WIDTH WAVE EQUATION," Mansoura Engineering Journal: Vol. 48 : Iss. 5 , Article 8.
Available at: https://doi.org/10.58491/2735-4202.3072