Open AccessVariational Iteration Method for Initial and Boundary Value Problems Using He′s Polynomials
Author(s) -
Syed Tauseef MohyudDin,
Ahmet Yıldırım,
M.M. Hosseini
Publication year - 2010
Publication title -
international journal of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 20
eISSN - 1687-9651
pISSN - 1687-9643
DOI - 10.1155/2010/426213
Subject(s) - mathematics , boundary value problem , value (mathematics) , coupling (piping) , boundary (topology) , nonlinear system , mathematical optimization , mathematical analysis , mechanical engineering , engineering , physics , quantum mechanics , statistics
This paper outlines a detailed study of the coupling of He's polynomials with correction functional of variational iteration method (VIM) for solving various initial and boundary value problems. The elegant coupling gives rise to the modified versions of VIM which is very efficient in solving nonlinear problems of diversified nature. It is observed that the variational iteration method using He's polynomials (VIMHP) is very efficient, easier to implements, and more user friendly. Several examples are given to reconfirm the efficiency of the proposed VIMHP
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