A compact difference scheme for solving fractional neutral parabolic differential equation with proportional delay (Q1674070)
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scientific article; zbMATH DE number 6801995
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A compact difference scheme for solving fractional neutral parabolic differential equation with proportional delay |
scientific article; zbMATH DE number 6801995 |
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A compact difference scheme for solving fractional neutral parabolic differential equation with proportional delay (English)
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1 November 2017
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Summary: A linearized compact finite difference scheme is constructed for solving the fractional neutral parabolic differential equation with proportional delay. By the energy method, the unconditional stability of the scheme is proved, and the convergence order of the scheme is proved to be \(O(\tau^{2-\alpha}+h^4)\). A numerical test is also conducted to validate the accuracy and efficiency of the numerical algorithm.
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numerical example
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compact finite difference scheme
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fractional neutral parabolic differential equation with proportional delay
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energy method
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convergence
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algorithm
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