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

Abstract EN

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).