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

M. A. Christou; C. Sophocleous

doi:10.1016/j.amc.2011.02.042

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

M. A. Christou
, C. Sophocleous

Department of Computer Science

University of Cyprus

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	7455-7461
Number of pages	7
Journal	Applied Mathematics and Computation
Volume	217
Issue number	18
DOIs	https://doi.org/10.1016/j.amc.2011.02.042
Publication status	Published - 15 May 2011

Keywords

Burgers equation
Numerical solutions
Similarity reductions

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10.1016/j.amc.2011.02.042

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title = "Numerical similarity reductions of the (1+3)-dimensional Burgers equation",

abstract = "We consider the (1+3)-dimensional Burgers equation ut = u xx + uyy + uzz + uux 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.",

keywords = "Burgers equation, Numerical solutions, Similarity reductions",

author = "Christou, \{M. A.\} and C. Sophocleous",

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AB - We consider the (1+3)-dimensional Burgers equation ut = u xx + uyy + uzz + uux 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.

KW - Burgers equation

KW - Numerical solutions

KW - Similarity reductions

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M3 - Article

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 18

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

Abstract

Keywords

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