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Solving Nonlinear Boundary Value Problems Using He's Polynomials and Padé Approximants
Author(s) -
Syed Tauseef MohyudDin,
Ahmet Yıldırım
Publication year - 2009
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2009/690547
Subject(s) - diagonal , invertible matrix , boundary value problem , mathematics , nonlinear system , padé approximant , value (mathematics) , mathematical analysis , pure mathematics , geometry , physics , statistics , quantum mechanics
We apply He's polynomials coupled with the diagonal Padé approximants for solving various singular and nonsingular boundary value problems which arise in engineering and applied sciences. The diagonal Padé approximants prove to be very useful for the understanding of physical behavior of the solution. Numerical results reveal the complete reliability of the proposed combination

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