Date of Award
Master of Science
Alistair James Windsor
John R Haddock
Maria Fernanda Botelho
We implement several methods for solving Volterra integral equations based on standard techniques for solving ordinary differential equations. In particularwe implement a version of the modified Euler method,we implement the standard fourth order Runge-Kutta method.We compare these with a novel collocation method using Bernstein polynomials.We also look at Volterra integral equations with weakly singular kernels. Here the standard methods developed above do not apply though the collocation method can still be used. We develop two “product integration” methods, derived from numerical integration methods that can be applied to these weakly singular Volterra integral equations and compare them to the collocation method.
dissertation or thesis originally submitted to the local University of Memphis Electronic Theses & dissertation (ETD) Repository.
Houston, Scotty Glen, "A Comparison of Some Numerical Methods for Solving Volterra Integral Equations." (2010). Electronic Theses and Dissertations. 61.