Numerical similarity reductions of the (1+3)-dimensional Burgers equation

We consider the (1+3)-dimensional Burgers equation u t = u xx + u yy + u zz + uu x which has considerable interest in mathematical physics. Lie symmetries are used to reduce it to certain ordinary differential equations. We employ numerical methods to solve a number of these ordinary differential eq...

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Veröffentlicht in:	Applied mathematics and computation 2011-05, Vol.217 (18), p.7455-7461
Hauptverfasser:	Christou, M.A., Sophocleous, C.
Format:	Artikel
Sprache:	eng
Schlagworte:	Burgers equation Computation Differential equations Exact sciences and technology Mathematical analysis Mathematical models Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical methods in probability and statistics Numerical solutions Ordinary differential equations Partial differential equations Reduction Sciences and techniques of general use Similarity Similarity reductions Symmetry
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Zusammenfassung:	We consider the (1+3)-dimensional Burgers equation u t = u xx + u yy + u zz + uu x which has considerable interest in mathematical physics. Lie symmetries are used to reduce it to certain ordinary differential equations. We employ numerical methods to solve a number of these ordinary differential equations.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2011.02.042