Mathematics and Statistics Vol. 1(1), pp. 10 - 14
DOI: 10.13189/ms.2013.010103
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Solving a Class of Self-adjoint Differential Equations of the Fourth Order and its Algorithms in MATLAB

Mehdi Delkhosh^*
Islamic Azad University, Bardaskan Branch, Department of Mathematics, Bardaskan, Iran

ABSTRACT

In many of applied sciences, various Self-adjoint differential equations are generated, where, methods for their solution is very complex. Usually, numerical methods used to solve them. Leighton et al were investigated oscillation properties of solutions of self-adjoint differential equations of the fourth order, with specific conditions. In this paper, we use a new method for the solving a class of Self-adjoint differential equations of the fourth order. We use a variable change in the equation, and then obtain an analytical solution for the equation with a specific condition. Because in this method, an analytical solution is obtained, therefore, it is not necessary to use numerical methods to solve the problem.

KEYWORDS
Self-adjoint Differential Equation, Ordinary Differential Equation, Linear Differential Equation, Wronskian

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Mehdi Delkhosh , "Solving a Class of Self-adjoint Differential Equations of the Fourth Order and its Algorithms in MATLAB," Mathematics and Statistics, Vol. 1, No. 1, pp. 10 - 14, 2013. DOI: 10.13189/ms.2013.010103.

(b). APA Format:
Mehdi Delkhosh (2013). Solving a Class of Self-adjoint Differential Equations of the Fourth Order and its Algorithms in MATLAB. Mathematics and Statistics, 1(1), 10 - 14. DOI: 10.13189/ms.2013.010103.