%0 Journal Article %A Hailong Zhu and Zhaoxiang Li and Kejun Zhuang %D 2010 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 43, 2010 %T A Contractor Iteration Method Using Eigenpairs for Positive Solutions of Nonlinear Elliptic Equation %U https://publications.waset.org/pdf/12039 %V 43 %X By means of Contractor Iteration Method, we solve and visualize the Lane-Emden(-Fowler) equation Δu + up = 0, in Ω, u = 0, on ∂Ω. It is shown that the present method converges quadratically as Newton’s method and the computation of Contractor Iteration Method is cheaper than the Newton’s method. %P 885 - 888