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A Two-Grid Spectral Deferred Correction Method for the Multi-Order Fractional Differential Equations

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Abstract

In this paper, we propose a two-grid spectral deferred correction method for the multi-order fractional differential equation. The error analysis of the proposed method is conducted for the prediction step and the correction step, respectively. Numerical experiments are included to illustrate the theoretical results.

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Authors and Affiliations

  1. College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, China

    Yu-ling Guo & Zhong-qing Wang

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  1. Yu-ling Guo
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  2. Zhong-qing Wang
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Correspondence to Zhong-qing Wang.

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Yu-ling Guo is supported in part by National Natural Science Foundation of China (No. 12101409) and China Postdoctoral Science Foundation (No. 2020M681345); Zhong-qing Wang is supported in part by National Natural Science Foundation of China (No. 12071294) and Shanghai Natural Science Foundation (No. 22ZR1443800).

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Guo, Yl., Wang, Zq. A Two-Grid Spectral Deferred Correction Method for the Multi-Order Fractional Differential Equations. J Sci Comput 92, 78 (2022). https://doi.org/10.1007/s10915-022-01942-4

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  • DOI: https://doi.org/10.1007/s10915-022-01942-4

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