ADI schemes for higher-order nonlinear diffusion equations
Publication
, Journal Article
Witelski, TP; Bowen, M
Published in: Applied Numerical Mathematics
May 1, 2003
Alternating Direction Implicit (ADI) schemes are constructed for the solution of two-dimensional higher-order linear and nonlinear diffusion equations, particularly including the fourth-order thin film equation for surface tension driven fluid flows. First and second-order accurate schemes are derived via approximate factorization of the evolution equations. This approach is combined with iterative methods to solve nonlinear problems. Problems in the fluid dynamics of thin films are solved to demonstrate the effectiveness of the ADI schemes. © 2002 IMACS. Published by Elsevier Science B.V. All rights reserved.
Duke Scholars
Published In
Applied Numerical Mathematics
DOI
ISSN
0168-9274
Publication Date
May 1, 2003
Volume
45
Issue
2-3
Start / End Page
331 / 351
Related Subject Headings
- Numerical & Computational Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0802 Computation Theory and Mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Witelski, T. P., & Bowen, M. (2003). ADI schemes for higher-order nonlinear diffusion equations. Applied Numerical Mathematics, 45(2–3), 331–351. https://doi.org/10.1016/S0168-9274(02)00194-0
Witelski, T. P., and M. Bowen. “ADI schemes for higher-order nonlinear diffusion equations.” Applied Numerical Mathematics 45, no. 2–3 (May 1, 2003): 331–51. https://doi.org/10.1016/S0168-9274(02)00194-0.
Witelski TP, Bowen M. ADI schemes for higher-order nonlinear diffusion equations. Applied Numerical Mathematics. 2003 May 1;45(2–3):331–51.
Witelski, T. P., and M. Bowen. “ADI schemes for higher-order nonlinear diffusion equations.” Applied Numerical Mathematics, vol. 45, no. 2–3, May 2003, pp. 331–51. Scopus, doi:10.1016/S0168-9274(02)00194-0.
Witelski TP, Bowen M. ADI schemes for higher-order nonlinear diffusion equations. Applied Numerical Mathematics. 2003 May 1;45(2–3):331–351.
Published In
Applied Numerical Mathematics
DOI
ISSN
0168-9274
Publication Date
May 1, 2003
Volume
45
Issue
2-3
Start / End Page
331 / 351
Related Subject Headings
- Numerical & Computational Mathematics
- 4903 Numerical and computational mathematics
- 4901 Applied mathematics
- 0802 Computation Theory and Mathematics
- 0103 Numerical and Computational Mathematics
- 0102 Applied Mathematics