A numerical algorithm for finding solution of multiparameter semipositone Dirichlet problems

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Abstract

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.

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Afrouzi, G. A., Mahdavi, S., & Naghizadeh, Z. (2007). A numerical algorithm for finding solution of multiparameter semipositone Dirichlet problems. Applied Mathematics and Computation, 190(1), 287–291. https://doi.org/10.1016/j.amc.2007.01.026

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