Solution of nonlinear singular initial value problems of generalized Lane-Emden type using block pulse functions in a large interval

M. H. Heydari, et al. "Solution of nonlinear singular initial value problems of generalized Lane-Emden type using block pulse functions in a large interval." Waves, Wavelets and Fractals 2.1 (2016): null. <http://eudml.org/doc/276694>.

@article{M2016,
abstract = {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 solution is the coefficients of block pulse expansions of the solution of NSIVPs. Numerical examples are illustrated to show the reliability and efficiency of the proposed method.},
author = {M. H. Heydari, M. R. Hooshmandasl, F. Mohammadi, A. Ciancio},
journal = {Waves, Wavelets and Fractals},
keywords = {Lane-Emden equation; Block pulse functions; Nonlinear singular initial value problems; Operational matrices},
language = {eng},
number = {1},
pages = {null},
title = {Solution of nonlinear singular initial value problems of generalized Lane-Emden type using block pulse functions in a large interval},
url = {http://eudml.org/doc/276694},
volume = {2},
year = {2016},
}

TY - JOUR
AU - M. H. Heydari
AU - M. R. Hooshmandasl
AU - F. Mohammadi
AU - A. Ciancio
TI - Solution of nonlinear singular initial value problems of generalized Lane-Emden type using block pulse functions in a large interval
JO - Waves, Wavelets and Fractals
PY - 2016
VL - 2
IS - 1
SP - null
AB - 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 solution is the coefficients of block pulse expansions of the solution of NSIVPs. Numerical examples are illustrated to show the reliability and efficiency of the proposed method.
LA - eng
KW - Lane-Emden equation; Block pulse functions; Nonlinear singular initial value problems; Operational matrices
UR - http://eudml.org/doc/276694
ER -