Subject Area

Mathematics and Engineering Physics

Article Type

Original Study


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.


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

Creative Commons License

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