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Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition

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  • Deniz Agirseven

Abstract

Finite difference and homotopy analysis methods are used for the approximate solution of the initial-boundary value problem for the delay parabolic partial differential equation with the Dirichlet condition. The convergence estimates for the solution of first and second orders of difference schemes in Hölder norms are obtained. A procedure of modified Gauss elimination method is used for the solution of these difference schemes. Homotopy analysis method is applied. Comparison of finite difference and homotopy analysis methods is given on the problem.

Suggested Citation

  • Deniz Agirseven, 2012. "Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-31, June.
    • Handle: RePEc:hin:jnlaaa:682752
    DOI: 10.1155/2012/682752
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    Cited by:

    1. Allaberen Ashyralyev & Deniz Agirseven, 2019. "Bounded Solutions of Semilinear Time Delay Hyperbolic Differential and Difference Equations," Mathematics, MDPI, vol. 7(12), pages 1-38, December.
    2. Allaberen Ashyralyev & Sa’adu Bello Mu’azu, 2023. "Bounded Solutions of Semi-Linear Parabolic Differential Equations with Unbounded Delay Terms," Mathematics, MDPI, vol. 11(16), pages 1-14, August.

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