Journal of Applied Mathematics
Volume 2012 (2012), Article ID 180806, 7 pages
Research Article

Analytic Solutions of Some Self-Adjoint Equations by Using Variable Change Method and Its Applications

1Department of Mathematics, Islamic Azad University, Bardaskan Branch, Bardaskan 9671637776, Iran
2Department of Computer, Islamic Azad University, Bardaskan Branch, Bardaskan 9671637776, Iran

Received 28 February 2012; Accepted 11 March 2012

Academic Editor: Ram N. Mohapatra

Copyright © 2012 Mehdi Delkhosh and Mohammad Delkhosh. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Many applications of various self-adjoint differential equations, whose solutions are complex, are produced (Arfken, 1985; Gandarias, 2011; and Delkhosh, 2011). In this work we propose a method for the solving some self-adjoint equations with variable change in problem, and then we obtain a analytical solutions. Because this solution, an exact analytical solution can be provided to us, we benefited from the solution of numerical Self-adjoint equations (Mohynl-Din, 2009; Allame and Azal, 2011; Borhanifar et al. 2011; Sweilam and Nagy, 2011; Gülsu et al. 2011; Mohyud-Din et al. 2010; and Li et al. 1996).