International Journal of Nonlinear Analysis and Applications

Superconvergence of Volterra-Urysohn integral with weakly singular kernel by iterated Jacobi spectral multi Galerkin method

Document Type : Research Paper

Author

ABV-Indian Institute of Information Technology and Management, Gwalior, Madhya Pradesh, 474015, India

Abstract

We propose the iterated Jacobi spectral multi Galerkin method for weakly singular Volterra integral equations of Urysohn type and obtain the superconvergence results in uniform norm. The convergence analysis is discussed in two cases: when the solution is sufficiently smooth and when it is not. To back up our theoretical approach, we present numerical findings.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 4
April 2023
Pages 37-45
  • Receive Date: 02 July 2022
  • Revise Date: 13 December 2022
  • Accept Date: 01 February 2023