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Larsson S. and Thomée, V. (2009) Partial Differential Equations with Numerical Methods. Springer-Verlag, New York.

has been cited by the following article:

• TITLE: A Special Case of Variational Formulation for Two-Point Boundary Value Problem in L2(Ω)

  AUTHORS: Pedro Pablo Cárdenas Alzate

  KEYWORDS: Two-Point Boundary, Variational Problem, Stability Restriction

  JOURNAL NAME: Applied Mathematics, Vol.6 No.4, April 27, 2015

  ABSTRACT: We consider the nonlinear boundary value problems for elliptic partial differential equations and using a maximum principle for this problem we show uniqueness and continuous dependence on data. We use the strong version of the maximum principle to prove that all solutions of two-point BVP are positives and we also show a numerical example by applying finite difference method for a two-point BVP in one dimension based on discrete version of the maximum principle.