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

Abstract

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).