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ADI schemes for higher-order nonlinear diffusion equations

Abstract:

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...

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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
APPLIED NUMERICAL MATHEMATICS
Volume:
45
Issue:
2-3
Pages:
331-351
Publication date:
2003-05-05
DOI:
ISSN:
0168-9274
URN:
uuid:a7351368-3aeb-4d1a-abcf-c2a1b8bc4e67
Source identifiers:
8044
Local pid:
pubs:8044

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