Abstract
Orthonormal Bernstein coupled with Block-Pulse Functions for integro-differential form of the singular Emden-Fowler initial value problems, is considered. First, we introduce the proposed method then the singular differentialequations are transformed to Volterra integro-differential equations. We transform the obtained equations toalgebraic system of equations. Solution to the problem is identified by solving this system and the constructedsolutions are of approximation form. We compare the results with exact solutions and other methods to show theaccuracy of proposed method. The obtained results guarantee the method provides an approximate solution to thegeneralized singular Lane-Emden type equations.
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