Research Output
Series solutions of partial differential equations using the complex integral method
  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.

  • Type:

    Article

  • Date:

    31 December 2014

  • Publication Status:

    Published

  • DOI:

    10.12988/imf.2014.48145

  • Library of Congress:

    TA Engineering (General). Civil engineering (General)

  • Dewey Decimal Classification:

    624 Civil engineering

Citation

Robin, W. (2014). Series solutions of partial differential equations using the complex integral method. International Mathematical Forum, 9, 1477-1494. https://doi.org/10.12988/imf.2014.48145

Authors

Keywords

Partial differential equations; several complex variables; series solutions; complex integrals;

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    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.

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