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

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  • Mehdi Delkhosh
  • Mohammad Delkhosh

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).

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  • Mehdi Delkhosh & Mohammad Delkhosh, 2012. "Analytic Solutions of Some Self-Adjoint Equations by Using Variable Change Method and Its Applications," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-7, May.
    • Handle: RePEc:hin:jnljam:180806
    DOI: 10.1155/2012/180806
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    Cited by:

    1. Maria P. Beccar-Varela & Md Al Masum Bhuiyan & Maria C. Mariani & Osei K. Tweneboah, 2019. "Analytic Methods for Solving Higher Order Ordinary Differential Equations," Mathematics, MDPI, vol. 7(9), pages 1-17, September.

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