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

• Autorzy: M. H. Heydari , M. R. Hooshmandasl , F. Mohammadi , A. Ciancio
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Lane-Emden equation; Block pulse functions; Nonlinear singular initial value problems; Operationalmatrices

• Wydawca: De Gruyter Open
• Czasopismo: Waves, Wavelets and Fractals
• Rocznik: 2016
• Tom: 2
• Numer: 1

Daty

otrzymano

2015-10-23

zaakceptowano

2016-01-12

online

2016-03-17

Twórcy

autor

M. H. Heydari

• Faculty of Mathematics, Yazd University, Yazd, Iran

autor

M. R. Hooshmandasl

• Faculty of Mathematics, Yazd University, Yazd, Iran

autor

F. Mohammadi

• Department of Mathematics, Faculty of Sciences, Hormozgan University, Bandarabbas, Iran

autor

A. Ciancio

• Department of Biomedical Sciences and Morphological and Functional Imaging, University of Messina, Italy

Identyfikatory

DOI

10.1515/wwfaa-2016-0002