On The Solutions of Wave Equation in Three Dimensions using D'alembert Formula

Mustafa A. Sabri; Maan A. Rasheed

doi:https://doi.org/10.14445/22315373/IJMTT-V49P549

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 49 | Number 5 | Year 2017 | Article Id. IJMTT-V49P549 | DOI : https://doi.org/10.14445/22315373/IJMTT-V49P549

On The Solutions of Wave Equation in Three Dimensions using D'alembert Formula

Mustafa A. Sabri, Maan A. Rasheed

Abstract

In this paper, we derive explicit formulas, which can be used to solve Cauchy problems of wave equation in three and two dimension spaces, using d’alembert formula. Moreover, we apply those formulas to solve two examples.

Keywords

Wave equation, Cauchy problem, D’alembert formula.

References

[1] L.C. Evans, “Partial Differntial Equations”, American Mathematical Socity, 1998.
[2] P. Giesl, “Partial Differential Equation”, Special Lectures, university of Sussex, 2010.
[3] V. G. Bagrov and D.M. Gitman, “Exact Solutions of Relativistic Wave Equations”, Kluwer Academic Publishers, 1990.
[4] W.A. Mersman ," Methods of calculating fundamental solutions of the wave equation, with tables”, National Aeronautics and Space Administration, 1959.

Citation :

Mustafa A. Sabri, Maan A. Rasheed, "On The Solutions of Wave Equation in Three Dimensions using D'alembert Formula," International Journal of Mathematics Trends and Technology (IJMTT), vol. 49, no. 5, pp. 311-315, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V49P549