Wilson, HJ;
(2016)
Practical Analytical Methods for Partial Differential Equations.
In: Bullett, SR and Fearn, T and Smith, F, (eds.)
Advanced Techniques in Applied Mathematics.
World Scientific: Singapore, Singapore.
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Abstract
This chapter runs through some techniques that can be used to tackle partial differential equations (PDEs) in practice. It is not a theoretical work — there will be no proofs — instead I will demonstrate a range of tools that you might want to try. We begin with first-order PDEs and the method of characteristics; classification of second-order PDEs and solution of the wave equation; and separation of variables. Finally, there is a section on perturbation methods which can be applicable to both ordinary differential equations (ODEs) and PDEs of any order as long as there is a small parameter.
| Type: | Book chapter |
|---|---|
| Title: | Practical Analytical Methods for Partial Differential Equations |
| ISBN-13: | 978-1-78326-811-5 |
| DOI: | 10.1142/9781786340238_0001 |
| Publisher version: | https://doi.org/10.1142/9781786340238_0001 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Statistical Science |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/1502248 |
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