Huoying LIU, Wanyuan MING. Two-Step Collocation Method for a Class of Delay Volterra Integro-Differential Equations[J]. Journal of nanchang hangkong university(Natural science edition), 2025, 39(2): 43-49. DOI: 10.3969/j.issn.2096-8566.2025.02.006
Citation: Huoying LIU, Wanyuan MING. Two-Step Collocation Method for a Class of Delay Volterra Integro-Differential Equations[J]. Journal of nanchang hangkong university(Natural science edition), 2025, 39(2): 43-49. DOI: 10.3969/j.issn.2096-8566.2025.02.006
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Two-Step Collocation Method for a Class of Delay Volterra Integro-Differential Equations

    Abstract
  • In this paper, a two-step collocation method is constructed on \theta -invariant meshes for solving Volterra integro-differential equations with non-vanishing delays. The existence, uniqueness, and superconvergence properties of the proposed numerical solution are analyzed. Finally, the theoretical results are verified by numerical experiments
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