WASET
	%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