Journal article

A 2-STAGE, 2-LEVEL FINITE-DIFFERENCE SCHEME FOR MOVING BOUNDARY-PROBLEMS

Abstract:: A two-stage, two-level finite difference scheme is devised which, after applying a coordinate transformation, requires only a single iteration of a modified Newton method to produce second-order approximations to the solution of nonlinear parabolic moving boundary problems. Numerical evidence of unconditional stability and second-order convergence (in space and time) to both the solution and the moving boundary is presented for two particular problems. The proposed scheme is expected to be competitive with most current 'front tracking' methods.

Publication status:: Published

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APA Style

Meek, P., & Norbury, J. (1984). A 2-STAGE, 2-LEVEL FINITE-DIFFERENCE SCHEME FOR MOVING BOUNDARY-PROBLEMS. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 46(2), 137–149.

MLA Style

Meek, P, and J Norbury. “A 2-STAGE, 2-LEVEL FINITE-DIFFERENCE SCHEME FOR MOVING BOUNDARY-PROBLEMS.” COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol. 46, no. 2, 1984, pp. 137–49.

Chicago Style

Meek, P, and J Norbury. 1984. “A 2-STAGE, 2-LEVEL FINITE-DIFFERENCE SCHEME FOR MOVING BOUNDARY-PROBLEMS.” COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 46 (2): 137–49.
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Publisher copy:: 10.1016/0045-7825(84)90056-2

Authors

+ Meek, P More by this author

Role:: Author

+ Norbury, J More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Journal:: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING More from this journal
Volume:: 46
Issue:: 2
Pages:: 137-149
Publication date:: 1984-01-01
DOI:: 10.1016/0045-7825(84)90056-2
ISSN:: 0045-7825

Language:: English
Pubs id:: pubs:1783
UUID:: uuid:1395bce3-4a49-49e6-ac1a-c11578fdd590
Local pid:: pubs:1783
Source identifiers:: 1783
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_1395bce34a4949e6ac1ac11578fdd590

Terms of use

Copyright date:: 1984

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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