✦ LIBER ✦

High-order product integration methods for a non-linear Volterra integro-differential equation

✍ Scribed by Jumarhon, Bartur

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 132 KB
Volume: 15
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199908)15:8<565::aid-cnm270>3.0.co;2-i

No coin nor oath required. For personal study only.

✦ Synopsis

This paper is concerned with the numerical solution of a particular non-linear Volterra integro-dierential equation with a weakly singular kernel. The technique of subtracting out singularities is used together with the product integration methods introduced by McKee and Stokes (1983) to obtain high-order convergence rates. Some numerical results are presented and a convergence analysis for the numerical methods is given.

📜 SIMILAR VOLUMES

A novel method for integrating first- an

A novel method for integrating first- and second-order differential equations in elastohydrodynamic lubrication for the solution of smooth isothermal, line contact problems

✍ T. G. Hughes; C. D. Elcoate; H. P. Evans 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 143 KB 👁 2 views

This paper contains details of recent developments in the analysis of elastohydrodynamic lubrication problems using the finite element method. A steady state isothermal finite element formulation of the smooth line contact problem with Newtonian lubricant behaviour is presented containing both first