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

Year 2012, Volume: 5 Issue: 1-2, 27 - 47, 06.05.2015

Mahir Resulov , Mahir Resulov , Kenan Şentürk , Kenan Senturk

https://izlik.org/JA52KK26MT

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

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

Year 2012, Volume: 5 Issue: 1-2, 27 - 47, 06.05.2015

Mahir Resulov , Mahir Resulov , Kenan Şentürk , Kenan Senturk

https://izlik.org/JA52KK26MT

Abstract

Bu çalışmada iki boyutlu skaler korunum kuralları için yazılmış süreksiz
başlangıç koşullu Cauchy probleminin gerçek çözümünün bulunması için
yeni bir yöntem önerilmiştir. Bu amaçla önce, lineerleştirilmiş denklemin
zayıf çözümünün bazı özellikleri incelenmiş ve bu özellikler dikkate alınarak
esas problemde bulunmayan ve bazı avantajlara sahip yardımcı problem dahil
edilmiştir. Önerilen yardımcı problem göz önüne alınan problemin sayısal
çözümünü bulmak için etkin sayısal algoritmalar yazmaya da geniş imkan
sağlamaktadır.

Keywords

Skaler korunum yasaları yardımcı problem süreksiz fonksiyonlar sınıfında gerçek ve sayısal çözümler

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Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Mahir Resulov

Mahir Resulov

Kenan Şentürk

Kenan Senturk This is me

Publication Date May 6, 2015
IZ https://izlik.org/JA52KK26MT
Published in Issue Year 2012 Volume: 5 Issue: 1-2

Cite

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