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Numerical methods for solving ordinary and partial differential equations

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posted on 29.06.2018 by Cormac P. Murphy
The 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 Murphy

Publisher 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

1978

Notes

A Doctoral Thesis. Submitted in partial fulfilment of the requirements for the award of Doctor of Philosophy at Loughborough University.

Language

en

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