A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces (Q1874213)
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scientific article; zbMATH DE number 1915288
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces |
scientific article; zbMATH DE number 1915288 |
Statements
A fractional trapezoidal rule for integro-differential equations of fractional order in Banach spaces (English)
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22 May 2003
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The numerical solution of a certain integro-differential equation is studied. The discretization in time is based on the trapezoidal rule: time derivative directly; the integral by a fractional quadrature rule constructed from the trapezoidal rule. The investigation is detailed: functional quadrature rule, numerical method, error expression, stability, convergence. The application of the numerical method is restricted to two experiments.
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fractional trapezoidal rule
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Banach spaces
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numerical examples
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integro-differential equation
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error expression
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stability
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convergence
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0.90471476
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0.89118606
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0.8900317
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0.88911647
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