The numerical solution of weakly singular volterra functional integro-differential equations with variable delays

Hermann BRUNNER*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

We analyze the attainable order of convergence of collocation solutions for linear and nonlinear Volterra functional integro-differential equations of neutral type containing weakly singular kernels and nonvanishing delays. The discretization of the initial-value problem is based on a reformulation as a sequence of ODEs with nonsmooth solutions. The paper concludes with a brief description of possible alternative numerical approaches for solving various classes of such functional integro-differential equations.

Original languageEnglish
Pages (from-to)261-276
Number of pages16
JournalCommunications on Pure and Applied Analysis
Volume5
Issue number2
DOIs
Publication statusPublished - Jun 2006

Scopus Subject Areas

  • Analysis
  • Applied Mathematics

User-Defined Keywords

  • Collocation methods
  • Neutral equations
  • Optimal order of convergence
  • Variable delays
  • Volterra functional integro-differential equations
  • Weakly singular kernels

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