EXACT SOLUTION OF THE CAUCHY PROBLEM FOR 2-D SCALAR CONSERVATION LAWS WITH CONSTANT COEFFICIENTS IN A CLASS OF DISCONTINUOUS FUNCTIONS

Mahir Resulov; Mahir Resulov; Kenan Şentürk; Kenan Senturk

EN TR

EXACT SOLUTION OF THE CAUCHY PROBLEM FOR 2-D SCALAR CONSERVATION LAWS WITH CONSTANT COEFFICIENTS IN A CLASS OF DISCONTINUOUS FUNCTIONS

Abstract

In this study a new method for finding exact solution of the Cauchy problem subject to a discontinuous initial profile for the two dimensional scalar conservation laws is suggested. For this aim, first, some properties of the weak solution of the linearized equation are investigated. Taking these properties into consideration an auxiliary problem having some advantages over the main problem is introduced. The proposed auxiliary problems also permit us to develop effective different numerical algorithms for finding the solutions. Some computer experiments are carried out.

Keywords

Scalar conservation laws,auxiliary problem,exact and numerical solution in a class of discontinuous functions

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Mahir Resulov

Kenan Şentürk

Kenan Senturk This is me

Publication Date

May 6, 2015

Submission Date

May 6, 2015

Acceptance Date

-

Published in Issue

Year 2012 Volume: 5 Number: 1-2

IZ

https://izlik.org/JA52KK26MT

Cite

RIS / Bibtex

APA

Resulov, M., Resulov, M., Şentürk, K., & Senturk, K. (2015). EXACT SOLUTION OF THE CAUCHY PROBLEM FOR 2-D SCALAR CONSERVATION LAWS WITH CONSTANT COEFFICIENTS IN A CLASS OF DISCONTINUOUS FUNCTIONS. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 5(1-2), 27-47. https://izlik.org/JA52KK26MT

AMA

1.Resulov M, Resulov M, Şentürk K, Senturk K. EXACT SOLUTION OF THE CAUCHY PROBLEM FOR 2-D SCALAR CONSERVATION LAWS WITH CONSTANT COEFFICIENTS IN A CLASS OF DISCONTINUOUS FUNCTIONS. BUJSE. 2015;5(1-2):27-47. https://izlik.org/JA52KK26MT

Chicago

Resulov, Mahir, Mahir Resulov, Kenan Şentürk, and Kenan Senturk. 2015. “EXACT SOLUTION OF THE CAUCHY PROBLEM FOR 2-D SCALAR CONSERVATION LAWS WITH CONSTANT COEFFICIENTS IN A CLASS OF DISCONTINUOUS FUNCTIONS”. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 5 (1-2): 27-47. https://izlik.org/JA52KK26MT.

EndNote

Resulov M, Resulov M, Şentürk K, Senturk K (May 1, 2015) EXACT SOLUTION OF THE CAUCHY PROBLEM FOR 2-D SCALAR CONSERVATION LAWS WITH CONSTANT COEFFICIENTS IN A CLASS OF DISCONTINUOUS FUNCTIONS. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi 5 1-2 27–47.

IEEE

[1]M. Resulov, M. Resulov, K. Şentürk, and K. Senturk, “EXACT SOLUTION OF THE CAUCHY PROBLEM FOR 2-D SCALAR CONSERVATION LAWS WITH CONSTANT COEFFICIENTS IN A CLASS OF DISCONTINUOUS FUNCTIONS”, BUJSE, vol. 5, no. 1-2, pp. 27–47, May 2015, [Online]. Available: https://izlik.org/JA52KK26MT

ISNAD

Resulov, Mahir - Resulov, Mahir - Şentürk, Kenan - Senturk, Kenan. “EXACT SOLUTION OF THE CAUCHY PROBLEM FOR 2-D SCALAR CONSERVATION LAWS WITH CONSTANT COEFFICIENTS IN A CLASS OF DISCONTINUOUS FUNCTIONS”. Beykent Üniversitesi Fen ve Mühendislik Bilimleri Dergisi 5/1-2 (May 1, 2015): 27-47. https://izlik.org/JA52KK26MT.

JAMA

1.Resulov M, Resulov M, Şentürk K, Senturk K. EXACT SOLUTION OF THE CAUCHY PROBLEM FOR 2-D SCALAR CONSERVATION LAWS WITH CONSTANT COEFFICIENTS IN A CLASS OF DISCONTINUOUS FUNCTIONS. BUJSE. 2015;5:27–47.

MLA

Resulov, Mahir, et al. “EXACT SOLUTION OF THE CAUCHY PROBLEM FOR 2-D SCALAR CONSERVATION LAWS WITH CONSTANT COEFFICIENTS IN A CLASS OF DISCONTINUOUS FUNCTIONS”. Beykent Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 5, no. 1-2, May 2015, pp. 27-47, https://izlik.org/JA52KK26MT.

Vancouver

1.Mahir Resulov, Mahir Resulov, Kenan Şentürk, Kenan Senturk. EXACT SOLUTION OF THE CAUCHY PROBLEM FOR 2-D SCALAR CONSERVATION LAWS WITH CONSTANT COEFFICIENTS IN A CLASS OF DISCONTINUOUS FUNCTIONS. BUJSE [Internet]. 2015 May 1;5(1-2):27-4. Available from: https://izlik.org/JA52KK26MT