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## Godunov Scheme for the Scalar Nonlinear Conservation Laws with Flux Depending on the Space Variable

Prnić, Žarko
Godunov Scheme for the Scalar Nonlinear Conservation Laws with Flux Depending on the Space Variable // Mathematical and Computer Modelling, 22 (1995), 8; 1-15 (međunarodna recenzija, članak, znanstveni)

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Naslov
Godunov Scheme for the Scalar Nonlinear Conservation Laws with Flux Depending on the Space Variable

Autori
Prnić, Žarko

Izvornik
Mathematical and Computer Modelling (0895-7177) 22 (1995), 8; 1-15

Ključne riječi
Riemannov problem; Fluks zavisan o prostornoj variabli; Nelinearni zakoni sačuvanja; Shema Godunova
(Riemann problem; Flux depending on space variable; Nonlinear conservation laws; Godunov scheme)

Sažetak
We derive the Godunov scheme for the scalar nonlinear conservation laws with the flux depending on the space variable x and on the unknovn function. The Riemann problem for the scalar conservation law with the flux F(x, u)=k(x)f(u) has been solved and corresponding Godunov scheme is derived. Then we prove that derived scheme has the TVB property. Finally, the numerical examples involving Burger's equation and the Buckley-Leverett equation are presented.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Profili:

Žarko Prnić (autor)

#### Citiraj ovu publikaciju

Prnić, Žarko
Godunov Scheme for the Scalar Nonlinear Conservation Laws with Flux Depending on the Space Variable // Mathematical and Computer Modelling, 22 (1995), 8; 1-15 (međunarodna recenzija, članak, znanstveni)
Prnić, Ž. (1995) Godunov Scheme for the Scalar Nonlinear Conservation Laws with Flux Depending on the Space Variable. Mathematical and Computer Modelling, 22 (8), 1-15.
@article{article, author = {Prni\'{c}, \v{Z}.}, year = {1995}, pages = {1-15}, keywords = {Riemann problem, Flux depending on space variable, Nonlinear conservation laws, Godunov scheme}, journal = {Mathematical and Computer Modelling}, volume = {22}, number = {8}, issn = {0895-7177}, title = {Godunov Scheme for the Scalar Nonlinear Conservation Laws with Flux Depending on the Space Variable}, keyword = {Riemann problem, Flux depending on space variable, Nonlinear conservation laws, Godunov scheme} }

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