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On the convergence of the backward Euler algorithm for the multidimensional heat equation

Volume 41 / 2014

Ion Aurel Cristescu Applicationes Mathematicae 41 (2014), 351-360 MSC: Primary 35K05; Secondary 35A15, 65M60. DOI: 10.4064/am41-4-6

Abstract

The backward Euler algorithm for the multidimensional nonhomogeneous heat equation is analyzed, based on the finite element method. The existence and uniqueness of the numerical solution is investigated. Also, the convergence of the numerical solutions is studied.

Authors

  • Ion Aurel CristescuApplied Sciences Faculty
    Politehnica University of Bucharest
    Splaiul Independenţei 313
    060042 Bucureşti, Romania
    e-mail

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