A new expanded mixed method for parabolic integro-differential equations

Yang Liu, Zhichao Fang, Hong Li, Siriguleng He and Wei Gao

Applied Mathematics and Computation, 2015, vol. 259, issue C, 600-613

Abstract: A new expanded mixed scheme is studied and analyzed for linear parabolic integro-differential equations. The proposed method’s gradient belongs to the simple square integrable space replacing the classical H(div;Ω) space. The new expanded mixed projection is introduced, the existence and uniqueness of solution for semi-discrete scheme are proved and the fully discrete error estimates based on both backward Euler scheme are obtained. Moreover, the optimal a priori error estimates in L2 and H1-norm for the scalar unknown u and the error results in L2(Ω)-norm for its gradient λ, and its flux σ (the coefficients times the negative gradient) are derived. Finally, some numerical results are calculated to verify our theoretical analysis.

Keywords: New expanded mixed method; Parabolic integro-differential equations; New expanded mixed projection; Backward Euler scheme; Error estimates (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:600-613

DOI: 10.1016/j.amc.2015.02.081

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