The method of the joint approximation for solving the multi-dimensional quasi-linear hyperbolic equations

Authors

  • Валерий Леонидович Бучарский Dnipropetrovsk National University named after O.Gonchar Gagarin ave, 72, Dnipropetrovsk, 49000, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2013.14768

Keywords:

Method of the joint approximation, finite difference scheme, high order of accuracy

Abstract

In present paper the method of the joint approximation for constructing high order of accuracy finite difference schemes is extended on the case of multidimensional quasi-linear hyperbolic equations. The new two-step cost-effective way for constructing compact cost-effective finite difference schemes with unlimited order of accuracy is suggested. This approach is based on the method of the joint approximation and one property of the hyperbolic partial derivatives equations. Finite difference schemes up to seventh order of temporal and spatial accuracy for the two-dimensional linear transport equation and the two-dimensional Burgers equation are presented. Results of the solution of the used widely test cases are presented also. The data of the calculations confirm the theoretical results

Author Biography

Валерий Леонидович Бучарский, Dnipropetrovsk National University named after O.Gonchar Gagarin ave, 72, Dnipropetrovsk, 49000

Associate professor

Department of Jet Propulsion System

References

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Published

2013-06-19

How to Cite

Бучарский, В. Л. (2013). The method of the joint approximation for solving the multi-dimensional quasi-linear hyperbolic equations. Eastern-European Journal of Enterprise Technologies, 3(4(63), 64–67. https://doi.org/10.15587/1729-4061.2013.14768

Issue

Vol. 3 No. 4(63) (2013): Mathematics and cybernetics - fundamental ans applied aspects

Section

Mathematics and Cybernetics - applied aspects

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Copyright (c) 2014 Валерий Леонидович Бучарский

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