Thesis-1978-Murphy.pdf (4.04 MB)
Numerical methods for solving ordinary and partial differential equations
thesis
posted on 2018-06-29, 13:25 authored by Cormac P. MurphyThe numerical solution of ordinary differential equations will be the
main topics discussed in the first half of this thesis. In Chapter 2 initial value problems are examined and the resulting differential equations are solved
by using extrapolation techniques. Computer trials of the algorithm are
completed by a special ordinary differential equation tester program and the
statistics of its performance are compared with other established methods.
In the following Chapter the relevant theory and properties, associated
with Chebyshev polynomials, is presented. Then boundary value problems are
solved by representing the ordinary differential equations as a Chebyshev
series. Finally, similar methods are developed for the solution of partial
differential equations.
Funding
Science Research Council.
History
School
- Science
Department
- Computer Science
Publisher
© Cormac Patrick MurphyPublisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
1978Notes
A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.Language
- en