Extrapolation and a-posteriori error estimators of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations (Q2748458)
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scientific article; zbMATH DE number 1659461
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extrapolation and a-posteriori error estimators of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations |
scientific article; zbMATH DE number 1659461 |
Statements
14 October 2001
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initial-value problem
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nonlinear Volterra integro-differential equation
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Richardson extrapolation
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Petrov-Galerkin finite element method
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error estimates
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numerical examples
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Extrapolation and a-posteriori error estimators of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations (English)
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The authors consider the initial-value problem for a nonlinear Volterra integro-differential equation, which plays an important role in the mathematical modeling of various physical and biological phenomena.NEWLINENEWLINENEWLINEThe purpose of this paper is to show that Richardson extrapolation can be used to enhance the numerical solution generated by Petrov-Galerkin finite element method. Moreover, a-posteriori error estimates are given and two numerical examples are presented.
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