Volterra-Type Integral Equations of the Second Kind With Nonsmooth Solutions: High-Order Methods Based on Collocation Techniques

Hermann Brunner*, H. J.J. te Riele

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

12 Citations (Scopus)

Abstract

Methods with arbitrary orders of convergence are derived for the approximate solution of second-kind Volterra integral equations with weakly singular kernels where exact solutions have unbounded derivatives at the left endpoint of the interval of integration. These methods are based on collocation techniques in certain nonsmooth piecewise function spaces whose elements reflect the singular behavior of the given equation. 9 refs.

Original languageEnglish
Pages (from-to)187-203
Number of pages17
JournalJournal of Integral Equations
Volume6
Issue number3
Publication statusPublished - 1984

Scopus Subject Areas

  • Engineering(all)

Fingerprint

Dive into the research topics of 'Volterra-Type Integral Equations of the Second Kind With Nonsmooth Solutions: High-Order Methods Based on Collocation Techniques'. Together they form a unique fingerprint.

Cite this