On the convergence of spline collocation methods for solving fractional differential equations (Q534232)
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scientific article; zbMATH DE number 5895478
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convergence of spline collocation methods for solving fractional differential equations |
scientific article; zbMATH DE number 5895478 |
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On the convergence of spline collocation methods for solving fractional differential equations (English)
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17 May 2011
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This paper is concerned with the convergence of spline collocation solutions to a class of multi-term fractional differential equations. These results are applied to the convergence analysis of a polynomial spline collocation method for the numerical treatment of these problems. Global convergence estimates of solutions are also established. Numerical results are developed in the final part of the paper.
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fractional differential equation
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Caputo derivative
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Volterra integral equation
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spline collocation method
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graded grid
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convergence
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numerical results
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