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International Journal of Computer Mathematics Volume 80, 2003 - Issue 1
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Original Articles

The Determination Of A Control Parameter In A Two-Dimensional Diffusion Equation Using A Dual-Reciprocity Boundary Element Method

Whye-Teong Ang School of Mechanical and Production Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore, 639798
,
Keng-Cheng Ang National Institute of Education, Nanyang Technological University, 50 Nanyang Avenue, Singapore, 639798
&
Mehdi Dehghan Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Avenue, Tehran, Iran
Pages 65-74 | Published online: 15 Sep 2010

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  • Ang , W. T. and Gumel , A B. 2001 . A boundary integral method for the three-dimensional heat equation subject to specification of energy . Journal of Computational and Applied Mathematics , 135 : 303 – 311 .
  • Brebbia , C. A. and Nardini , D. 1983 . Dynamic analysis in solid mechanics by an alternative boundary element procedure . Internationaljournal of Soil Dynamics and Earthquake Engineering , 2 : 228 – 233 .
  • Cannon , J. R. , Lin , Y. and Matheson , A. L. 1993 . The solution of the diffusion equation in two-space variables subject to the specification of mass . Journal of Applied Analysis , 50 : 1 – 19 .
  • Cannon , J. R. , Lin , Y. and Wang , S. 1991 . Determination of a control parameter in a parabolic partial differential equation . Journal of the Australian Mathematical Society , B33 : 149 – 163 .
  • Cannon , J. R. , Lin , Y. and Xu , S. 1994 . Numerical procedures for the determination of an unknown coefficient in semi-linear parabolic differential equations . Inverse Problems , 10 : 227 – 243 .
  • Clements , D. L. 1981 . Boundary Value Problems Governed by Second Order Elliptic Systems , London : Pitman .
  • Dehghan , M. 2001 . Determination of a control parameter in the two-dimensional diffusion equation . Applied Numerical Mathematics , 37 : 489 – 502 .
  • Gumel , A. B. , Ang , W. T. and Twizell , E. H. 1997 . Efficient parallel algorithm for the two-dimensional diffusion equation subject to specification of mass . International Journal of Computer Mathematics , 64 : 153 – 163 .
  • Noye , B. J. , Dehghan , M and Van Der Hoek , J. 1994 . Explicit finite difference methods for two-dimensional diffusion with a non-local boundary condition . International Journal of Engineering Science , 32 : 1829 – 1834 .
  • Partridge , P. W. and Brebbia , C. A. 1990 . “ The dual reciprocity boundary element method for the Helmholtz equation ” . In Proceedings of the International Boundary Elements Symposium , Edited by: Brebbia , C. A. and Chondonet-Miranda , A. 543 – 555 . Berlin : Computational Mechanics Publications/Springer .
  • Wang , S. and Lin , Y. 1990 . A numerical method for the diffusion equation with nonlocal boundary specifications . International Journal of Engineering Science , 28 : 543 – 546 .
  • Zhang , Y. and Zhu , S. 1994 . On the choice of interpolation functions used in the dual-reciprocity boundaryelement method . Engineering Analysis with Boundary Elements , 13 : 387 – 396 .

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