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Error estimates for the semidiscrete finite element approximation of linear nonlocal parabolic equations

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  • Dennis E. Jackson

Abstract

Existence and uniqueness are proved for nonlocal (in time) for solutions of linear parabolic partial differential equations. Instead of an initial condition, there is a relation connecting the initial value to values of the solution at other times. L 2 error estimates are obtained for the semidiscrete approximation of the problem using finite elements in the space variables.

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  • Dennis E. Jackson, 1992. "Error estimates for the semidiscrete finite element approximation of linear nonlocal parabolic equations," International Journal of Stochastic Analysis, Hindawi, vol. 5, pages 1-9, January.
    • Handle: RePEc:hin:jnijsa:626273
    DOI: 10.1155/S1048953392000029
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    Cited by:

    1. Martín-Vaquero, Jesús & Sajavičius, Svajūnas, 2019. "The two-level finite difference schemes for the heat equation with nonlocal initial condition," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 166-177.

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