Variational Iteration Method for Initial and Boundary Value Problems Using He′s Polynomials
Makaleler > Tam Makale · 2010
Yazarlar: Syed Tauseef Mohyud-Din, Ahmet YILDIRIM, M. M. Hosseini
International Journal of Differential Equations, Uluslararası, Scopus, 2010, cilt 2010
DOI: 10.1155/2010/426213
Özet
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.