International Journal of Applied Engineering Research

  • Year: 2006
  • Volume: 1
  • Issue: 1

Computational results of a semilinear elliptic equation

  • Author:
  • G.A. Afrouzi, S. Khademloo
  • Total Page Count: 10
  • DOI:
  • Page Number: 61 to 70

Department of Mathematics, Faculty of Basic Sciences, Mazandaran University, Babolsar, Iran.

Abstract

In this work we consider numerical positive solutions of the equation −Δu = λ f (u) with Dirichlet boundary condition in a bounded domain Ω, where λ > 0 and f (u) is a superlinear function of u. We study the behavior of the branches of numerical positive solutions for varying λ.

Keywords

Elliptic boundary value problems, multiple solutions, finite difference method, interpolation formula