ABOUT THE SOLUTION OF LINEAR DAMPING WAVES EQUATION
In this paper, we construct the exact solution of wave equation with linear damping using the Laplace-perturbation method.
Laplace-perturbation method, wave equation, linear damping.
Received: November 16, 2020; Accepted: March 12, 2021; Published: April 27, 2021
How to cite this article: Beyi Boukary, Some Longin and Bissanga Gabriel, About the solution of linear damping waves equation, Advances in Differential Equations and Control Processes 24(2) (2021), 101-115. DOI: 10.17654/DE024020101
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] Francis Bassono, Pare Youssouuf, Bissanga Gabriel and Some Blaise, Application of a modified Adomian decomposition method to solving a kind of wave equation, International Journal of Applied Mathematical Research 2(2) (2013), 213-219.[2] B. Abbo, N. N. Garasta, B. Some and L. Some, A new approach of the Adomian algorithim for solving nonlinear partial or ordinary differential equations, Far East J. Appl. Math. 23(3) (2006), 299-312.[3] K. Abbaoui and Y. Cherruault, Convergence of Adomian method applied to nonlinear equations, Math. Comput. Modelling 20(9) (1994), 60-73.[4] K. Abbaoui and Y. Cherruault, The decomposition method applied to the Cauchy problem, Kybernetes 28(1) (1999), 68-74.[5] N. Ngarhasta, B. Some, K. Abbaoui and Y. Cherruault, New numerical study of Adomian method applied to a diffusion model, Kybernetes 31(1) (2002), 61-75.[6] Vineet K. Srivastava, Mukesh K. Awasthi and R. K. Chaurasia, Reduced differential transform method to solve two and three dimensional second order hyperbolic telegraph equations, Journal of King Saud University-Engineering Sciences 29 (2017), 166-171.[7] E. M. De Jager and Jiang Furu, Theory of Singular Perturbations, North-Holland, Elsevier Science B.V., 1996.[8] Beyi Boukary’s Thesis, University of Joseph Ki-Zerbo, October the 24, 2020.