On The Solutions of Wave Equation in Three
Dimensions using D'alembert Formula
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). V49(5):311-315 September 2017. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.
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.
Reference
[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.
Keywords
Wave equation, Cauchy problem,
D’alembert formula.