International Journal of Numerical Methods and Applications

The International Journal of Numerical Methods and Applications publishes research articles on numerical methods and their applications in various fields, including differential equations, fluid dynamics, and bioinformatics. It also welcomes survey articles on new methods in numerical analysis.

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MATHEMATICAL AND NUMERICAL STUDY OF TWO WAVE EQUATIONS

Authors

  • D. V. Pongui Ngoma
  • G. Nguimbi
  • V. D. Mabonzo
  • V. R. Mbingui
  • B. B. Bamvi Madzou

Keywords:

wave equation, stability, convergence, numerical simulation, continuity, differentiability.

DOI:

https://doi.org/10.17654/0975045222004

Abstract

Solving the wave equation for the solution $u=u(x, t)$  by the finite difference method, we study the analytical stability and calculate truncation error of the method. The analytical convergence of this method is studied together with the continuity and the differentiability of the solution $u=u(x, t)$  with respect to the perturbation term $\sigma$. Numerical solving technique was implemented in Scilab.

Received: June 9, 2022
Accepted: July 18, 2022

References

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B. Lucquin, Partial Differential Equations and their Approximations, Ellipses, 2004.

Gui-Lin She, Yi-Ru Ren and Fuh-Gwo Yuan, Hygro-thermal wave propagation in functionally graded double-layered nanotubes system, J. Eng. Sci. 47(1) (2019), 777-780.

Soon-Mo Jung and Seungwook Min, Stability of the wave equation with a source, Journal of Function Spaces 2018 (2018), 1-4.

Soon-Mo Jung, On the stability of one-dimensional wave equation, The Scientific World Journal 2013 (2013), 1-3.

D. V. Pongui Ngoma, G. Nguimbi, V. D. Mabonzo and N. Batangouna, Mathematical and numerical resolution of the convection-diffusion problem, Pioneer Journal of Mathematics and Mathematical Sciences 28(2) (2020), 129-144.

D. V. Pongui Ngoma, G. Nguimbi, V. D. Mabonzo and N. Batangouna, Numerical methods for advection problem, European Journal of Pure and Applied Mathematics 13(1) (2020), 144-157.

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Published

2022-09-21

Issue

Vol. 22 (2022)

Section

Articles

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How to Cite

MATHEMATICAL AND NUMERICAL STUDY OF TWO WAVE EQUATIONS. (2022). International Journal of Numerical Methods and Applications, 22, 1-18. https://doi.org/10.17654/0975045222004

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