Self–similar numerical solutions of the porous–medium equation using moving mesh methods-Reference-Cited by-同舟云学术

Self–similar numerical solutions of the porous–medium equation using moving mesh methods

Published:1999-04-15 Issue:1754 Volume:357 Page:1047-1077
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences

Author:

Budd C.J.¹,Collins G.J.²,Huang W.Z.³,Russell R.D.⁴

Affiliation:

1. Department of Mathematics, University of Bath, Claverton Down, Bath BA2 7AY, UK

2. School of Mathematics, University of Bristol, Bristol BS8 1TW, UK

3. Department of Mathematics, 405 Snow Hall, University of Kansas, Lawrence, KS 66045, USA

4. Mathematics and Computer Science, Simon Fraser University, Burnaby, BC, Canada V5A 1S6

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.1999.0364

Reference14 articles.

1. Barenblatt G. I. 1996 Scaling self-similarity and intermediate asymptotics. Cambridge texts in applied mathematics vol. 14. Cambridge University Press.

2. Bluman G. & Cole J. 1974 Similarity methods for differential equations. New York: Springer.

3. Symmetry based numerical methods for partial differential equations. In Numerical analysis 1997 (ed. D. Griffiths, D. Higham & G. Watson);Budd C. J.;Pitman Research Notes in Mathematics Series,1998

4. Moving Mesh Methods for Problems with Blow-Up

5. Budd C. J. Chen J. Huang W. & Russell R. D. 1996b Moving mesh methods with applications to blow-up problems for PDEs. In Numerical analysis 1995 (ed. D. Griffiths & G. Watson) pp. 1-18. Pitman Research Notes in Mathematics Series vol. 344. London: Longman.

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