Computational results of a semilinear elliptic equation
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