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

Öz

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.

Anahtar Kelimeler

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

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

Mahir Resulov

Kenan Şentürk

Kenan Senturk Bu kişi benim

Yayımlanma Tarihi

6 Mayıs 2015

Gönderilme Tarihi

6 Mayıs 2015

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2012 Cilt: 5 Sayı: 1-2

IZ

https://izlik.org/JA52KK26MT

Kaynak Göster

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, ve 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 (01 Mayıs 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, ve K. Senturk, “EXACT SOLUTION OF THE CAUCHY PROBLEM FOR 2-D SCALAR CONSERVATION LAWS WITH CONSTANT COEFFICIENTS IN A CLASS OF DISCONTINUOUS FUNCTIONS”, BUJSE, c. 5, sy 1-2, ss. 27–47, May. 2015, [çevrimiçi]. Erişim adresi: 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 (01 Mayıs 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, vd. “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, c. 5, sy 1-2, Mayıs 2015, ss. 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]. 01 Mayıs 2015;5(1-2):27-4. Erişim adresi: https://izlik.org/JA52KK26MT