A wavelet-Galerkin method for inhomogeneous diffusion equations subject to mass specification

Journal of Physics A: Mathematical and General

Volumn 35, Issue 46, 2002, Pages 9745-9753

  Behiry, S H ^a  

^a Mansoura University   (Egypt)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037159651     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/46/303     Document Type: Article

References (16)

1. Cannon J R, Esteva S P and Van Der Hoek J 1987 A Galerkin procedure for the diffusion equation subject to the specification of mass SIAM J. Numer. Anal. 24 499-515
2. Cannon J R and Lin Y 1990 A Galerkin procedure for diffusion equations with boundary integral conditions Int. J. Eng. Sci. 28 579-87
3. Cannon J R and Van Der Hoek J 1986 Diffusion subject to the specification of mass J. Math. Anal. Appl. 115 517-29
4. Cannon J R and Matheson A 1993 A numerical procedure for diffusion subject to the specification of mass Int. J. Eng. Sci. 131 347-55
5. Cannon J R, Lin Y and Wang S 1990 An implicit finite difference scheme for the diffusion equation subject to mass specification Int. J. Eng. Sci. 28 573-8
6. Fairweather G and Saylor R D 1991 The reformulation and numerical solution of certain non-classical initial-boundary value problems SIAM J. Sci. Stat. Comp. 12 127-44
7. Beylkin G 1993 On the representation of operators in bases of compactly supported wavelet SIAM J. Numer. Anal. 29 507-37
8. Chen M Q, Hwang C and Shih Y P 1996 The computation of wavelet-Galerkin approximation on a bounded interval Int. J. Numer. Methods Eng. 39 2921-44
9. Lin E B and Zhou X 2001 Connection coefficients on an interval and wavelet solution of Burgers equation J. Comput. Appl. Math. 135 63-78
10. Dahmen W 2001 Wavelet methods for PDEs - some recent developments J. Comput. Appl. Math. 128 133-85
11. Daubechies I 1988 Orthonormal bases of compactly supported wavelets Commun. Pure Appl. Math. 41 909-96
12. Daubechies I 1992 Ten Lectures on Wavelets (Philadelphia, PA: SIAM)
13. Strang G 1989 Wavelets and dilation equations: a brief introduction SIAM Rev. 31 614-27
14. Chui C K 1992 An Introduction to Wavelets (New York: Academic)
15. Xu J and Shann W 1992 Galerkin-wavelets methods for two-point boundary value problems Numer. Math. 63 123-44
16. Asithambi N S 1995 Numerical Analysis Theory and Practice (Philadelphia, PA: Saunders)