Solution of nonlinear singular initial value problems of generalized Lane-Emden type using block pulse functions in a large interval
M. H. Heydari, M. R. Hooshmandasl, F. Mohammadi, A. Ciancio (2016)
Waves, Wavelets and Fractals
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In this paper, the block pulse functions (BPFs) and their operational matrices of integration and differentiation are used to solve nonlinear singular initial value problems (NSIVPs) of generalized Lane-Emden type in a large interval. In the proposed method, we present a new technique for computing nonlinear terms in such equations. This technique is then utilized to reduce the solution of this nonlinear singular initial value problems to a system of nonlinear algebraic equation whose...