Time-dependent fundamental solutions for homogeneous diffusion problems

Engineering Analysis with Boundary Elements

Volumn 28, Issue 12, 2004, Pages 1463-1473

  Young, D L ^a   Tsai, C C ^a,b   Murugesan, K ^a   Fan, C M ^a   Chen, C W ^a  

^a NATIONAL TAIWAN UNIVERSITY   (Taiwan)

^b TOKO UNIVERSITY   (Taiwan)

Author keywords

Diffusion equation; Diffusion fundamental solution; Method of fundamental solutions; Multi dimensions

Indexed keywords

BOUNDARY ELEMENT METHOD; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

DIFFUSION EQUATIONS; DIFFUSION FUNDAMENTAL SOLUTION; METHOD OF FUNDAMENTAL SOLUTIONS; MULTI-DIMENSIONS;

DIFFUSION;

EID: 8344243002     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2004.07.003     Document Type: Article

References (17)

1. Zhu SP. Solving transient diffusion problems: time-dependent fundamental solution approaches versus LTDRM approaches. Eng Anal Bound Elem 1998;21:87-90.
2. Zhu SP, Liu HW, Lu XP. A combination of LTDRM and ATPS in solving diffusion problems. Eng Anal Bound Elem 1998;21:285-9.
3. Bulgakov V, Sarler B, Kuhn G. Iterative solution of systems of equations in the dual reciprocity boundary element method for the diffusion equation. Int J Numer Meth Eng 1998;43:713-32.
4. Zerroukat M. A boundary element scheme for diffusion problems using compactly supported radial basis functions. Eng Anal Bound Elem 1999;23:201-9.
5. Sutradhar A, Paulino GH, Gray LJ. Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method. Eng Anal Bound Elem 2002;26:119-32.
6. Bialecki RA, Jurgas P, Kuhn G. Dual reciprocity BEM without matrix inversion for transient heat conduction. Eng Anal Bound Elem 2002;26:227-36.
7. Nardini D, Brebbia CA. A new approach to free vibration analysis using boundary elements. In: Brebbia CA, editor. Boundary element methods in engineering. Berlin: Springer; 1982.
8. Tsai CC, Meshless numerical methods and their engineering applications. PhD Thesis. Department of Civil Engineering, National Taiwan University, Taipei, Taiwan; 2002.
9. Golberg MA. The method of fundamental solutions for Poisson's equation. Eng Anal Bound Elem 1995;16:205-13.
10. Golberg MA, Chen CS. The method of fundamental solutions for potential, Helmholtz and diffusion problems. In: Golberg MA, editor. Boundary integral methods: numerical and mathematical aspects. Southampton, Boston: Computational Mechanics Publications; 1998.
11. Fairweather G, Karageoghis A. The method of fundamental solutions for elliptic boundary value problems. Adv Comput Math 1998;9:69-95.
12. Poullikkas A, Karageorghis A, Grorgiou G. Methods of fundamental solutions for harmonic and biharmonic boundary value problems. Comput Mech 1998;21:416-23.
13. Poullikkas A, Karageorghis A, Grorgiou G. The method of fundamental solutions for inhomogeneous elliptic problems. Comput Mech 1998;22:100-7.
14. Chen CS, Golberg MA, Hon YC. The method of fundamental solutions and quasi-Monte-Carlo method for diffusion equations. Int J Numer Meth Eng 1998;43:1421-35.
15. Balakrishnan K, Ramachandran PA. The method of fundamental solutions for linear diffusion-reaction equations. Math Comput Model 2000;31(2/3):221-37.
16. Walker SP. Diffusion problems using transient discrete source superposition. Int J Numer Meth Eng 1992;35:165-78.
17. Fairweather G, Karageorghis A, Martin PA. The method of fundamental solutions for scattering and radiation problems. Eng Anal Bound Elem 2003;27:759-69.