An hp-version Legendre collocation method for the third-kind VIEs with nonlinear vanishing delay

Yuling Guo, Xiaoyu Xu, Zicheng Wang and Zhongqing Wang

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 223, issue C, 338-350

Abstract: This paper proposes an hp-version Legendre spectral collocation method for solving third-kind VIEs with nonlinear vanishing delay, which effectively addresses the singularity of the equation and the intricate impact of the delay term. The solvability of the algebraic system is established, and the convergence of the hp-version spectral collocation method under the L∞-norm is proved. Numerical experiments are performed to validate our theoretical predictions.

Keywords: Third-kind VIEs; Nonlinear vanishing delay; Collocation method; Convergence of the hp-version (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:223:y:2024:i:c:p:338-350

DOI: 10.1016/j.matcom.2024.04.016

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