A family of high order product integration methods for an integral equation of lighthill

Abstract

Lighthill has derived a nonlinear singular Volterra integral equation to describe the temperature distribution of the surface of a projectile moving through a laminar boundary layer at high Mach numbers. This paper presents high order product integration methods for its numerical solution and analyses their convergence. Numerical results are given.

Keywords:

• Singular Volterra equation
• product integration methods
• high accuracy

C.R. Categories::

• G.1.9