## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2012, Special Issue (2012), Article ID 682752, 31 pages.

### Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition

**Full-text: Open access**

#### 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.

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 682752, 31 pages.

**Dates**

First available in Project Euclid: 5 April 2013

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1365174043

**Digital Object Identifier**

doi:10.1155/2012/682752

**Mathematical Reviews number (MathSciNet)**

MR2926901

**Zentralblatt MATH identifier**

1246.65145

#### Citation

Agirseven, Deniz. Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 682752, 31 pages. doi:10.1155/2012/682752. https://projecteuclid.org/euclid.aaa/1365174043

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