Concentration-dependent diffusion. II. Singular problems
Author:
L. F. Shampine
Journal:
Quart. Appl. Math. 31 (1973), 287-293
MSC:
Primary 35K55; Secondary 34C99
DOI:
https://doi.org/10.1090/qam/425369
MathSciNet review:
425369
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Additional Information
- L. F. Shampine, Concentration-dependent diffusion, Quart. Appl. Math. 30 (1972/73), 441–452. MR 413785, DOI https://doi.org/10.1090/S0033-569X-1973-0413785-8
- W. F. Ames, Nonlinear partial differential equations in engineering, Academic Press, New York-London, 1965. MR 0210342
C. Wagner, Diffusion of lead chloride in solid silver chloride, J. Chem. Phys. 18, 1227–1230 (1950)
- Max A. Heaslet and Alberta Alksne, Diffusion from a fixed surface with a concentration-dependent coefficient, J. Soc. Indust. Appl. Math. 9 (1961), 584–596. MR 137456
- Robert I. Macey, A quasi-steady-state approximation method for diffusion problems: I. Concentration dependent diffusion coefficients, Bull. Math. Biophys. 21 (1959), 19–32. MR 100516, DOI https://doi.org/10.1007/bf02476456
W. Brutsaert and R. N. Weisman, Comparison of solutions of a nonlinear differential equation, Water Resources Res. 6, 642–644 (1970)
- J. A. Zonneveld, Automatic numerical integration, Mathematical Centre Tracts, No. 8, Mathematisch Centrum, Amsterdam, 1964. MR 0171381
L. F. Shampine, Concentration-dependent diffusion, Quart. Appl. Math. 30, 441–452 (1973)
W. F. Ames, Nonlinear partial differential equations in engineering, Academic Press, New York, 1965
C. Wagner, Diffusion of lead chloride in solid silver chloride, J. Chem. Phys. 18, 1227–1230 (1950)
M. A. Heaslet and A. Alksne, Diffusion from a fixed surface with a concentration-dependent coefficient, J. SIAM 9, 584–596 (1961)
R. I. Macey, A quasi-steady state approximation method for diffusion problems: I. Concentration-dependent diffusion coefficients, Bull. Math. Biophys. 21, 19–32 (1959)
W. Brutsaert and R. N. Weisman, Comparison of solutions of a nonlinear differential equation, Water Resources Res. 6, 642–644 (1970)
J. A. Zonneveld, Automatic numerical integration, Math. Centre Tracts, no. 8, Mathematische Centrum, Amsterdam, 1964
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Article copyright:
© Copyright 1973
American Mathematical Society
