APPLICATION OF THE LAPLACE TRANSFORM IN THE RESOLUTION OF DAMPED WAVE EQUATIONS
Keywords:
partial differential equations, damped wave equations, Laplace transform.DOI:
https://doi.org/10.17654/2277141723011Abstract
This work is devoted to the solution of a linear partial differential equation. The objective of this work is the analytical study of the differential equations derived from the dynamics of damped wave equations, which are usual equations in models of vibratory phenomena. The Laplace method is used for this analytical study.
Received: December 13, 2022;
Accepted: February 6, 2023;
References
K. Al-Salihi Adnan and F. Yahya, Exact solution of one-dimension damping wave equation using Laplace transforms, Albaydha University Journal 1(1) (2019), 97 104.
E. A. Az-Zo’bi, Modified Laplace decomposition method, World Appl. Sci. J. 18(11) (2012), 1418-1486.
S. Çayan, M. Sezer and M. Çevik, Pell matrix collocation method for solving damped wave equation, 3rd International Students Sciences Congress, 3-4 May 2019, Izmir-Turkey, 2019, pp. 281-289.
E. M. De Jager and J. F. Furu, The Theory of Singular Perturbations, Elsevier, 1996.
H. Hosseinzadeh, H. Jafari and M. Roohani, Application of Laplace decomposition method for solving Klein-Gordon equation, World Appl. Sci. J. 8(3) (2010), 809-813.
M. Hussain and Majid Khan, Modified Laplace decomposition method, Appl. Math. Sci. 4(36) (2010), 1769-1783.
H. Jafari, C. M. Khalique and M. Nazari, Application decomposition method for solving linear and nonlinear fractional diffusion-wave equations, Appl. Math. Lett. 24(11) (2011), 1799-1805.
M. Jradeh, On the damped wave equation, 12th Intern. Confer. on Hyperbolic Problems, Maryland, USA, 2008, pp. 9-13.
B. Kaltenbacher and W. Rundel, Determining damping terms in fractional wave equations, Inverse Problems 38(7) (2022), 1-35.
Majeed Saba Noori, On stability and some statistical properties to the dynamic solutions of damped wave equation, Mathematical Theory and Modeling 5(9) (2015), 108-118.
K. Majid and A. G. Muhammad, An efficient two step Laplace decomposition algorithm for singular Volterra integral equations, International Journal of Physical Sciences 6(20) (2011), 4717-4720.
A. S. Mounim, A space-time mixed-hybrid finite element method for damped wave equation, Numer. Methods Partial Differential Equations 24(2) (2008), 368-382.
A. W. Ogunsola, R. A. Oderinu, M. Taiwo and J. A. Owolabi, Application of Laplace decomposition method to boundary value equation in a semi-infinite domain, International Journal of Difference Equations (IJDE) 17(1) (2022), 75-86.
Yener Namik, A simple solution for the damped conditions using the Laplace transform, Progress in Electromagnetics Research B 33 (2011), 69-82.
Downloads
Published
Issue
Section
License
Copyright (c) 2023 Pushpa Publishing House, Prayagraj, India

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






Google h-index: