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Convergence analysis of the Jacobi spectral-collocation method for fractional integro-differential equations |
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| Authors: | Yin YANG |
| Institution: | Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, China; School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China; Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, China |
| Abstract: | We propose and analyze a spectral Jacobi-collocation approximation for fractional order integro-differential equations of Volterra type. The fractional derivative is described in the Caputo sense. We provide a rigorous error analysis for the collection method, which shows that the errors of the approximate solution decay exponentially in L∞ norm and weighted L2-norm. The numerical examples are given to illustrate the theoretical results. |
| Keywords: | Spectral Jacobi-collocation method fractional order integro-differential equations Caputo derivative |
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