**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31106

##### A Contractor Iteration Method Using Eigenpairs for Positive Solutions of Nonlinear Elliptic Equation

**Authors:**
Hailong Zhu,
Zhaoxiang Li,
Kejun Zhuang

**Abstract:**

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.

**Keywords:**
positive solutions,
Newton's method,
contractor iteration method,
Eigenpairs

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1078412

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