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An explicit two-grid spectral deferred correction method for nonlinear fractional pantograph differential equations

Published: 16 September 2024 Publication History

Abstract

In this paper, we propose an explicit two-grid spectral deferred correction method for solving the nonlinear fractional pantograph differential equations. We design a partition including the global and local grids, which reduces the interaction between the subintervals caused by the delay term. We also analyze the numerical errors of the suggested approach for the prediction step and the correction step, respectively. Numerical experiments confirm the theoretical expectations.

References

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            Published In

            cover image Calcolo: a quarterly on numerical analysis and theory of computation
            Calcolo: a quarterly on numerical analysis and theory of computation  Volume 61, Issue 4
            Nov 2024
            431 pages

            Publisher

            Springer-Verlag

            Berlin, Heidelberg

            Publication History

            Published: 16 September 2024
            Accepted: 04 September 2024
            Revision received: 23 May 2024
            Received: 28 July 2023

            Author Tags

            1. Nonlinear fractional pantograph differential equations
            2. Two-grid spectral deferred correction method
            3. Error analysis
            4. Numerical results

            Author Tags

            1. 34A08
            2. 65N35
            3. 41A10
            4. 41A25

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