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On the solution of the Liouville equation over a rectangle

Author

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  • A. M. Arthurs
  • J. Clegg
  • A. K. Nagar

Abstract

Methods for integral equations are used to derive pointwise bounds for the solution of a boundary value problem for the nonlinear Liouville partial differential equation over a rectangle. Several test calculations are performed and the resulting solutions are more accurate than those obtained previously by other methods.

Suggested Citation

  • A. M. Arthurs & J. Clegg & A. K. Nagar, 1996. "On the solution of the Liouville equation over a rectangle," International Journal of Stochastic Analysis, Hindawi, vol. 9, pages 1-11, January.
  • Handle: RePEc:hin:jnijsa:268160
    DOI: 10.1155/S1048953396000068
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