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Application of the multiquadric method for numerical solution of elliptic partial differential equations

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Author: Sharan, Maithili; Kansa, E J; Gupta, Suman

Advisor: Advisor

Date: 1997

Publisher:
Citation: Applied Ma

Series/Report no.:
Item Type: Article

Keywords: multiquadric (MQ) approximation; biharmonic equations; curved boundary

Abstract: We have used the multiquadric (MQ) approximation scheme for the solution of elliptic partial differential equations with Dirichlet and/or Neumann boundary conditions. The scheme has the advantage of using the data points in arbitrary locations with an arbitrary ordering. Two-dimensional Laplace, Poisson, and biharmonic equations describing the various physical processes have been taken as the test examples. The agreement is found to be very good between the computed and exact solutions. The method also provides an excellent approximation with a curved boundary.
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Shankar B. Chavan
Computer Applications Division
Central Library, IIT Delhi
shankar.chavan@library.iitd.ac.in
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Shankar B. Chavan
Computer Applications Division
Central Library, IIT Delhi
shankar.chavan@library.iitd.ac.in
NDLTD
Shodhganga
NDL
ePrints@IISc
etd@IISc
IR@IIT Bombay
NewsClips @IITD
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