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TASK Quarterly
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  3. Vol. 9 No. 2 (2005)
  4. EXPLICIT ESTIMATION OF AN INTEGRAL IN A DOMAIN BY THE MULTIPLE RECIPROCITY METHOD WITH THE USE OF INVERSE OPERATIONS

EXPLICIT ESTIMATION OF AN INTEGRAL IN A DOMAIN BY THE MULTIPLE RECIPROCITY METHOD WITH THE USE OF INVERSE OPERATIONS

Abstract

The paper presents two methods of solving the Poisson equation. One is based on the multiple reciprocity method. An analytical form of the basic solution obtained by means of inverse operation technique enabled assessing the method’s error. The other is based on source function expansion into a series according to polyharmonic functions. Further polyharmonic functions have been obtained through inverse operations (with the ∆−1 operator) applied to polyharmonic functions. Numerical results have confirmed perfect efficiency of both methods.

Keywords:

Poisson equation, multiple reciprocity method, inverse operation, fundamental solution

Details

Issue
Vol. 9 No. 2 (2005)
Section
Research article
Published
2005-06-30
Licencja:
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors

  • ANDRZEJ FRĄCKOWIAK

    Department of Thermal Engineering, Poznan University of Technology, Piotrowo 3, 60-965 Poznan, Poland

  • MICHAŁ CIAŁKOWSKI

    Department of Thermal Engineering, Poznan University of Technology, Piotrowo 3, 60-965 Poznan, Poland

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