Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1703006 | Applied Mathematical Modelling | 2015 | 13 Pages |
Abstract
In this paper, we extend and analyze the Galerkin finite element method for the spatial discretization (Jangveladze et al., 2011) to the higher spatial dimensions and develop a numerical algorithm based on θ scheme for the time discretization for solving a parabolic integro-differential equation which arises in the magnetic field penetration process. A-priori bounds are derived for the exact solution. The semi discrete and fully discrete error estimates are derived in Lâ(L2(Ω)) and L2(H1(Ω)) norms using energy arguments. Further, we present a numerical experiment which supports the theoretical results.
Keywords
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Nisha Sharma, Kapil K. Sharma,