Solution of the Lane-Emden Equation Using the Bernstein Operational Matrix of Integration | Zendy

Narayan Kumar | Zendy; Rajesh K. Pandey | Zendy; Carlo Cattani | Zendy

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Solution of the Lane-Emden Equation Using the Bernstein Operational Matrix of Integration

Author(s) -

Narayan Kumar,

Rajesh K. Pandey,

Carlo Cattani

Publication year - 2011

Publication title -

isrn astronomy and astrophysics

Language(s) - English

Resource type - Journals

eISSN - 2090-4746

pISSN - 2090-4738

DOI - 10.5402/2011/351747

Subject(s) - bernstein polynomial , numerical integration , polynomial , matrix (chemical analysis) , mathematics , nonlinear system , computer science , algorithm , mathematical analysis , physics , materials science , quantum mechanics , composite material

Lane-Emden's equation has fundamental importance in the recent analysis of many problems in relativity and astrophysics including some models of density profiles for dark matter halos. An efficient numerical method is presented for linear and nonlinear Lane-Emden-type equations using the Bernstein polynomial operational matrix of integration. The proposed approach is different from other numerical techniques as it is based on the Bernstein polynomial integration matrix. Some illustrative examples are given to demonstrate the efficiency and validity of the proposed algorithm.

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