A new sinc-Galerkin method for convection-diffusion equations with mixed boundary conditions

Computers and Mathematics with Applications

Volumn 47, Issue 4-5, 2004, Pages 803-822

  Mueller, J L ^a   Shores, T S ^b  

^a Department of Environmental and Radiological Health Sciences   (United States)

^b UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

Convection diffusion equation; Sinc Galerkin method

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIATION (CALCULUS); ERROR ANALYSIS; FOURIER TRANSFORMS; FUNCTIONS; INVERSE PROBLEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS; VARIATIONAL TECHNIQUES;

CONVECTION DIFFUSION EQUATIONS; DISCRETIZATION METHOD; INVERSE COEFFICIENT PROBLEM; SINC-GALERKIN METHOD;

GALERKIN METHODS;

EID: 1842865713     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(04)90066-1     Document Type: Article

References (13)

1. F. Stenger, A sinc-Galerkin method of solution of boundary value problems, Math. Comp. 33, 85-109, (1979).
2. J. Lund and K. Bowers, Sinc Methods of Quadrature and Differential Equations, SIAM, Philadelphia, PA, (1992).
3. F. Stenger, Numerical Methods Based on Sinc and Analytic Functions, Springer-Verlag, New York, (1993).
4. J. Lund and C. Vogel, A fully-Galerkin method for the numerical solution of an inverse problem in a parabolic partial differential equation, Inverse Problems 6, 205-217, (1990).
5. R. Smith and K. Bowers, Sinc-Galerkin estimation of diffusivity in parabolic problems, Inverse Problems 9, 113-135, (1993).
6. J. Lund, Sinc approximation method for coefficient indentification in parabolic systems, In Robust Control of Linear Systems and Nonlinear Control, Volume 4, Progress in Systems and Control Theory, (Edited by M. Kaashoek, J. van Schuppen and A. Ran), pp. 507-514, Birkhauser, Boston, MA, (1990).
7. J. Mueller and T. Shores, Uniqueness and numerial recovery of a potential on the real line, Inverse Problems 13, 289-303, (1997).
8. G. de Marsily, Quantitative Hydrogeology, Academic Press, San Diego, CA, (1986).
9. M.Th. van Genuchten and J.C. Parker, Boundary conditions for displacements experiments through short laboratory soil columns, Soil Sci. Soc. Am. J. 48, 703-708, (1984).
10. J. Mueller, Inverse problems for singular differential equations, Ph.D. Thesis, University of Nebraska, Lincoln, (1997).
11. N.N. Ural'ceva, O.A. Ladyzenskaja and V.A. Solonnikov, Linear and Quasilinear Equations of Parabolic Type, American Mathematical Society, Providence, RI, (1968).
12. B. Bialecki, Sinc-collocation methods for two-point boundary value problem, IMA J. Numer. Anal. 11, 357-375, (1991).
13. P. Gierke, Discrete approximations of differential operators by sinc methods, Ph.D. Thesis, University of Nebraska, Lincoln, NE (1999).