Perturbed Collocation Method For Solving Singular Multi-order Fractional Differential Equations of Lane-Emden Type

Abstract

In this work, a general class of multi-order fractional differential equations of Lane-Emden type is considered. Here, an assumed approximate solution is substituted into a slightly perturbed form of the general class and the resulting equation is collocated at equally spaced interior points to give a system of linear algebraic equations which are then solved by suitable computer software; Maple 18.

Keywords

• Perturbed Colocation Method
• Legendre polynomial
• Singular multi-order differential equations
• Lane-Emden equations