PICARD-REPRODUCING KERNEL HILBERT SPACE METHOD FOR SOLVING GENERALIZED SINGULAR NONLINEAR LANE-EMDEN TYPE EQUATIONS

Author:

Azarnavid Babak1,Parvaneh Foroud2,Abbasbandy Saeid1

Affiliation:

1. Imam Khomeini International University

2. Islamic Azad University

Abstract

An iterative method is discussed with respect to its effectiveness and capability of solving singular nonlinear Lane-Emden type equations using reproducing kernel Hilbert space method combined with the Picard iteration. Some new error estimates for application of the method are established. We prove the convergence of the combined method. The numerical examples demonstrates a good agreement between numerical results and analytical predictions.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

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