A numerical algorithm for finding solution of multiparameter semipositone Dirichlet problems

  • Afrouzi G
  • Mahdavi S
  • Naghizadeh Z
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In this paper we investigate numerically positive solution of the equation - Δ u = λ f (x, u) + μ g (x, u) with Dirichlet boundary condition in a boundary domain Ω for λ > 0, μ ∈ R. We will show that in which range of λ, this problem achieves a numerical solution. © 2007 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • Dirichlet boundary value problem
  • Sub- and super-solutions numerical algorithm
  • Variational method

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  • G. A. Afrouzi

  • S. Mahdavi

  • Z. Naghizadeh

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