Comparison of Godunov’s and Relaxation Schemes Approximation of Solutions to the Euler Equations

dc.contributor.author	KImathi, M.E
dc.contributor.author	Mutua, S.K
dc.date.accessioned	2019-01-22T12:22:15Z
dc.date.available	2019-01-22T12:22:15Z
dc.date.issued	2015
dc.identifier.issn	1792-6939
dc.identifier.uri	http://ir.mksu.ac.ke/bitstream/handle/123456780/2193/Vol%205_2_4.pdf?sequence=1&isAllowed=y
dc.description.abstract	In this paper we deal with the study of Euler equations for isothermal gas that is governed by two hyperbolic equations. By analysing the equations we obtain two real and distinct eigenvalues which enables us to determine the wave structure of the possible solution to the Riemann problem set up. We then obtain the numerical solution to the Riemann problem that we set up using the Godunov scheme and the relaxation scheme. Finally, we compare the results obtained from these two schemes graphically and explain in details	en_US
dc.language.iso	en_US	en_US
dc.publisher	Journal of Applied Mathematics and Bioinformatics	en_US
dc.subject	Isothermal gas	en_US
dc.subject	Eigen values	en_US
dc.subject	Riemann problem	en_US
dc.subject	Rankine-Hugoniot	en_US
dc.subject	Relaxation scheme	en_US
dc.subject	Godunov scheme	en_US
dc.title	Comparison of Godunov’s and Relaxation Schemes Approximation of Solutions to the Euler Equations	en_US
dc.type	Article	en_US

School of Pure and Applied Sciences [259]
Scholarly Articles by Faculty & Students in the School of Pure and Applied Sciences