Skip to main content

Research Repository

Advanced Search

Series solutions of partial differential equations using the complex integral method

Robin, William


William Robin


The complex integral method for solving ordinary differential equations in series [3, 7, 8] is extended to cover the series solution of partial differential equations also. The means of this extension is straightforward, with both ‘ordinary’ and ‘Frobenius’ multiple variable power series being dealt with. Standard examples of the application of the extended method(s) to first-order, second-order, third-order and simultaneous partial differential equations are provided throughout. Examples also include the series solution of a non-linear partial differential equation and the consideration of series solutions with negative powers.


Robin, W. (2014). Series solutions of partial differential equations using the complex integral method. International Mathematical Forum, 9, 1477-1494.

Journal Article Type Article
Publication Date 2014
Deposit Date Nov 24, 2014
Publicly Available Date Dec 31, 2014
Publisher Hikari
Peer Reviewed Peer Reviewed
Volume 9
Pages 1477-1494
Keywords Partial differential equations; several complex variables; series solutions; complex integrals;
Public URL
Publisher URL


robinIMF29-32-2014-2.pdf (592 Kb)

Publisher Licence URL

Copyright Statement
Copyright © 2014 W. Robin. This article is distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

You might also like

Downloadable Citations