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

Ion Aurel Cristescu

doi:10.4064/am41-4-6

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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
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