메뉴 건너뛰기




Volumn 8, Issue 2, 2014, Pages 535-544

A Chebyshev-Gauss-Radau scheme for nonlinear hyperbolic system of first order

Author keywords

Chebyshev Gauss Radau quadrature; Collocation method; Implicit Runge Kutta method; System of nonlinear hyperbolic equations

Indexed keywords


EID: 84888859904     PISSN: 19350090     EISSN: 23250399     Source Type: Journal    
DOI: 10.12785/amis/080211     Document Type: Article
Times cited : (46)

References (60)
  • 1
    • 77649298678 scopus 로고    scopus 로고
    • Mechanics Research Communications
    • A. Guaily, M. Epstein, Mechanics Research Communications, 37, 158-163 (2010).
    • (2010) , vol.37 , pp. 158-163
    • Guaily, A.1    Epstein, M.2
  • 2
    • 0037408714 scopus 로고    scopus 로고
    • Nonlinear Analysis
    • G. A. Pinter, Nonlinear Analysis, 53, 653-668 (2003).
    • (2003) , vol.53 , pp. 653-668
    • Pinter, G.A.1
  • 3
    • 4544222251 scopus 로고    scopus 로고
    • Applied Mathematics and Computation
    • Q. Ma, C. Zhong, Applied Mathematics and Computation, 157, 745-758 (2004).
    • (2004) , vol.157 , pp. 745-758
    • Ma, Q.1    Zhong, C.2
  • 4
    • 0021817742 scopus 로고
    • Archive for Rational Mechanics and Analysis
    • D. D. Joseph, M. Renardy, J-C. Saut, Archive for Rational Mechanics and Analysis, 87, 213-251 (1985).
    • (1985) , vol.87 , pp. 213-251
    • Joseph, D.D.1    Renardy, M.2    Saut, J.-C.3
  • 5
    • 30844464816 scopus 로고    scopus 로고
    • International Journal of Computer Mathematics
    • M. Dehghan, International Journal of Computer Mathematics, 83, 123-129 (2006).
    • (2006) , vol.83 , pp. 123-129
    • Dehghan, M.1
  • 6
    • 77958167075 scopus 로고    scopus 로고
    • IMA Journal of Numerical Analysis
    • S. Larsson, F. Saedpanah, IMA Journal of Numerical Analysis, 30, 964-986 (2010).
    • (2010) , vol.30 , pp. 964-986
    • Larsson, S.1    Saedpanah, F.2
  • 7
    • 0020804867 scopus 로고
    • Mathematics and Computers in Simulation
    • M. Wysocki, Mathematics and Computers in Simulation, 25, 335-345 (1983).
    • (1983) , vol.25 , pp. 335-345
    • Wysocki, M.1
  • 8
    • 0021518595 scopus 로고
    • International Journal for Numerical Methods in Fluids
    • R. Lhner, K. Morgan, O. C. Zienkiewicz, International Journal for Numerical Methods in Fluids, 4, 1043-1063 (1984).
    • (1984) , vol.4 , pp. 1043-1063
    • Lhner, R.1    Morgan, K.2    Zienkiewicz, O.C.3
  • 9
    • 33845630604 scopus 로고    scopus 로고
    • Lecture Notes in Computational Science and Engineering
    • R. S. Falk, G. R. Richter, Lecture Notes in Computational Science and Engineering, 11, 209-219 (2000).
    • (2000) , vol.11 , pp. 209-219
    • Falk, R.S.1    Richter, G.R.2
  • 10
    • 0021497923 scopus 로고
    • Computer Methods in Applied Mechanics and Engineering
    • T. J. R. Hughes, T. E. Tezduyar, Computer Methods in Applied Mechanics and Engineering, 45, 217-284 (1984).
    • (1984) , vol.45 , pp. 217-284
    • Hughes, T.J.R.1    Tezduyar, T.E.2
  • 11
    • 0025693468 scopus 로고
    • Computer Methods in Applied Mechanics and Engineering
    • G. M. Hulbert, T. J. R. Hughes, Computer Methods in Applied Mechanics and Engineering, 84, 327-348 (1990).
    • (1990) , vol.84 , pp. 327-348
    • Hulbert, G.M.1    Hughes, T.J.R.2
  • 12
    • 32644450000 scopus 로고    scopus 로고
    • Journal of Computational Physics
    • J. A. Rossmanith, Journal of Computational Physics, 213, 629-658 (2006).
    • (2006) , vol.213 , pp. 629-658
    • Rossmanith, J.A.1
  • 13
    • 34547956814 scopus 로고    scopus 로고
    • Mathematics and Computers in Simulation
    • E. Bertolazzi, G. Manzini, Mathematics and Computers in Simulation, 75, 141-160 (2007).
    • (2007) , vol.75 , pp. 141-160
    • Bertolazzi, E.1    Manzini, G.2
  • 14
    • 33846336138 scopus 로고    scopus 로고
    • Journal of Computational Physics
    • M. Dumbser, M. Käser, Journal of Computational Physics, 221, 693-723 (2007).
    • (2007) , vol.221 , pp. 693-723
    • Dumbser, M.1    Käser, M.2
  • 15
    • 84862832767 scopus 로고    scopus 로고
    • Communications in Nonlinear Science and Numerical Simulation
    • H. Kim, R. Sakthivel, Communications in Nonlinear Science and Numerical Simulation, 17, 3788-3794 (2012).
    • (2012) , vol.17 , pp. 3788-3794
    • Kim, H.1    Sakthivel, R.2
  • 16
    • 34247354234 scopus 로고    scopus 로고
    • Computer Physics Communications
    • P. Pedram, M. Mirzaei, S.S. Gousheh, Computer Physics Communications, 176, 581-588 (2007).
    • (2007) , vol.176 , pp. 581-588
    • Pedram, P.1    Mirzaei, M.2    Gousheh, S.S.3
  • 17
    • 33644943392 scopus 로고    scopus 로고
    • Journal of Computational Physics
    • Y. Sun, Y.C. Zhou, S-G. Li, G. W. Wei, Journal of Computational Physics, 214, 466-490 (2006).
    • (2006) , vol.214 , pp. 466-490
    • Sun, Y.1    Zhou, Y.C.2    Li, S.-G.3    Wei, G.W.4
  • 18
    • 33750516530 scopus 로고    scopus 로고
    • Applied Numerical Mathematics
    • J-G. Tang, H-P. Ma, Applied Numerical Mathematics, 57, 1-11 (2007).
    • (2007) , vol.57 , pp. 1-11
    • Tang, J.-G.1    Ma, H.-P.2
  • 19
    • 0035449269 scopus 로고    scopus 로고
    • Journal of Computational and Applied Mathematics
    • P. K. Dutt, S. Bedekar, Journal of Computational and Applied Mathematics, 134, 165-190 (2001).
    • (2001) , vol.134 , pp. 165-190
    • Dutt, P.K.1    Bedekar, S.2
  • 20
    • 0035281653 scopus 로고    scopus 로고
    • Journal of Computational and Applied Mathematics
    • D. Gottlieb, J. S. Hesthaven, Journal of Computational and Applied Mathematics, 128, 83-131 (2001).
    • (2001) , vol.128 , pp. 83-131
    • Gottlieb, D.1    Hesthaven, J.S.2
  • 21
    • 77956547415 scopus 로고    scopus 로고
    • International Journal of Computer Mathematics
    • R. Sakthivela, C. Chuna, A-R. Bae, International Journal of Computer Mathematics, 87, 2601-2606 (2010).
    • (2010) , vol.87 , pp. 2601-2606
    • Sakthivela, R.1    Chuna, C.2    Bae, A.-R.3
  • 22
    • 77950512067 scopus 로고    scopus 로고
    • Computer Physics Communications
    • C. Chun, R. Sakthivel, Computer Physics Communications, 181, 1021-1024 (2010).
    • (2010) , vol.181 , pp. 1021-1024
    • Chun, C.1    Sakthivel, R.2
  • 23
    • 33847309675 scopus 로고    scopus 로고
    • Applied Numerical Mathematics
    • B-Y. Guo, X-Y. Zhang, Applied Numerical Mathematics, 57, 455-471 (2007).
    • (2007) , vol.57 , pp. 455-471
    • Guo, B.-Y.1    Zhang, X.-Y.2
  • 25
    • 33644611325 scopus 로고    scopus 로고
    • Applied Numerical Mathematics
    • Z. Jackiewicz, B. Zubik-Kowal, Applied Numerical Mathematics, 56, 433-443 (2006).
    • (2006) , vol.56 , pp. 433-443
    • Jackiewicz, Z.1    Zubik-Kowal, B.2
  • 26
    • 84878390142 scopus 로고    scopus 로고
    • Journal of Computational and Applied Mathematics
    • S-L. Chang, H-S. Chen, B-W. Jeng, C-S. Chien, Journal of Computational and Applied Mathematics, 254, 2-16 (2013).
    • (2013) , vol.254 , pp. 2-16
    • Chang, S.-L.1    Chen, H.-S.2    Jeng, B.-W.3    Chien, C.-S.4
  • 27
    • 70349737556 scopus 로고    scopus 로고
    • Journal of Computational and Applied Mathematics
    • Y. Chen, T. Tang, Journal of Computational and Applied Mathematics, 233, 938-950 (2009).
    • (2009) , vol.233 , pp. 938-950
    • Chen, Y.1    Tang, T.2
  • 28
    • 84876567562 scopus 로고    scopus 로고
    • Applied Mathematics and Computation
    • A. Rahmoune, Applied Mathematics and Computation, 219, 9254-9260 (2013).
    • (2013) , vol.219 , pp. 9254-9260
    • Rahmoune, A.1
  • 29
    • 84862873219 scopus 로고    scopus 로고
    • Applied Mathematics and Computation
    • K. Zhang, J. Li, H. Song, Applied Mathematics and Computation, 218, 10848-10860 (2012).
    • (2012) , vol.218 , pp. 10848-10860
    • Zhang, K.1    Li, J.2    Song, H.3
  • 30
    • 0030394703 scopus 로고    scopus 로고
    • Journal of Computational and Applied Mathematics
    • G. N. Elnagar, M. Kazemi, Journal of Computational and Applied Mathematics, 76, 147-158 (1996).
    • (1996) , vol.76 , pp. 147-158
    • Elnagar, G.N.1    Kazemi, M.2
  • 31
    • 77953612515 scopus 로고    scopus 로고
    • Journal of Computational Physics
    • T. A. Driscoll, Journal of Computational Physics, 229, 5980-5998 (2010).
    • (2010) , vol.229 , pp. 5980-5998
    • Driscoll, T.A.1
  • 32
    • 67349266198 scopus 로고    scopus 로고
    • Journal of Computational and Applied Mathematics
    • Y-J. Jiang, Journal of Computational and Applied Mathematics, 230, 333-340 (2009).
    • (2009) , vol.230 , pp. 333-340
    • Jiang, Y.-J.1
  • 33
    • 84871371668 scopus 로고    scopus 로고
    • Journal of Computational and Applied Mathematics
    • Y. Jiang, J. Ma, Journal of Computational and Applied Mathematics, 244, 115-124 (2013).
    • (2013) , vol.244 , pp. 115-124
    • Jiang, Y.1    Ma, J.2
  • 34
    • 79955887680 scopus 로고    scopus 로고
    • Journal of Computational and Applied Mathematics
    • F. Fakhar-Izadi, M. Dehghan, Journal of Computational and Applied Mathematics, 235, 4032-4046 (2011).
    • (2011) , vol.235 , pp. 4032-4046
    • Fakhar-Izadi, F.1    Dehghan, M.2
  • 35
    • 4544222854 scopus 로고    scopus 로고
    • Journal of Computational Physics
    • S. Nguyen, C. Delcarte, Journal of Computational Physics, 200, 34-49 (2004).
    • (2004) , vol.200 , pp. 34-49
    • Nguyen, S.1    Delcarte, C.2
  • 41
    • 77958020573 scopus 로고    scopus 로고
    • Applied Mathematics and Computation
    • A. H. Bhrawy, S. I. El-Soubhy, Applied Mathematics and Computation, 217, 2684-2697 (2010).
    • (2010) , vol.217 , pp. 2684-2697
    • Bhrawy, A.H.1    El-Soubhy, S.I.2
  • 44
    • 84865710124 scopus 로고    scopus 로고
    • Journal of Computational Physics
    • S. R. Lau, R. H. Price, Journal of Computational Physics, 231, 7695-7714 (2012).
    • (2012) , vol.231 , pp. 7695-7714
    • Lau, S.R.1    Price, R.H.2
  • 45
    • 78649445937 scopus 로고    scopus 로고
    • Computers & Mathematics with Applications
    • F. Ghoreishi, S. Yazdani, Computers & Mathematics with Applications, 61, 30-43 (2011).
    • (2011) , vol.61 , pp. 30-43
    • Ghoreishi, F.1    Yazdani, S.2
  • 46
    • 84876567562 scopus 로고    scopus 로고
    • Applied Mathematics and Computation
    • A. Rahmoune, Applied Mathematics and Computation, 219, 9254-9260 (2013).
    • (2013) , vol.219 , pp. 9254-9260
    • Rahmoune, A.1
  • 47
    • 84867428426 scopus 로고    scopus 로고
    • Journal of Quantitative Spectroscopy and Radiative Transfer
    • Y-S. Sun, B-W. Li, Journal of Quantitative Spectroscopy and Radiative Transfer, 113, 2205-2212 (2012).
    • (2012) , vol.113 , pp. 2205-2212
    • Sun, Y.-S.1    Li, B.-W.2
  • 48
    • 84873279470 scopus 로고    scopus 로고
    • Journal of Computational Physics
    • J. Hagan, Journal of Computational Physics, 238, 210-216 (2013).
    • (2013) , vol.238 , pp. 210-216
    • Hagan, J.1
  • 50
    • 84855214521 scopus 로고    scopus 로고
    • Communications in Nonlinear Science and Numerical Simulation
    • L. Zhu and Q. Fan, Communications in Nonlinear Science and Numerical Simulation, 17, 2333-2341 (2012).
    • (2012) , vol.17 , pp. 2333-2341
    • Zhu, L.1    Fan, Q.2
  • 51
    • 84861893481 scopus 로고    scopus 로고
    • Applied Mathematical Modelling
    • E. H. Doha, A. H. Bhrawy and S. S. Ezz-Eldien, Applied Mathematical Modelling, 36, 4931-4943 (2012).
    • (2012) , vol.36 , pp. 4931-4943
    • Doha, E.H.1    Bhrawy, A.H.2    Ezz-Eldien, S.S.3
  • 52
    • 0037774723 scopus 로고    scopus 로고
    • Applied Mathematics and Computation
    • A. Akyüz, M. Seze, Applied Mathematics and Computation, 144, 237-247 (2003).
    • (2003) , vol.144 , pp. 237-247
    • Akyüz, A.1    Seze, M.2
  • 53
    • 79960555480 scopus 로고    scopus 로고
    • Applied Mathematical Modelling
    • E. H. Doha, A. H. Bhrawy, S. S. Ezz-Eldien, Applied Mathematical Modelling, 35, 5662-5672 (2011).
    • (2011) , vol.35 , pp. 5662-5672
    • Doha, E.H.1    Bhrawy, A.H.2    Ezz-Eldien, S.S.3
  • 54
    • 80052338759 scopus 로고    scopus 로고
    • Computer Physics Communications
    • M. Dehghan, A. Taleei, Computer Physics Communications, 182, 2519-2529 (2011).
    • (2011) , vol.182 , pp. 2519-2529
    • Dehghan, M.1    Taleei, A.2
  • 55
    • 0024886038 scopus 로고
    • Mathematical and Computer Modelling
    • V. G. Panchang, D. A. Kopriva, Mathematical and Computer Modelling, 12, 625-640 (1989).
    • (1989) , vol.12 , pp. 625-640
    • Panchang, V.G.1    Kopriva, D.A.2
  • 56
    • 0028450365 scopus 로고
    • Computer Methods in AppliedMechanics and Engineering
    • A. Pinelli, C. Benocci, Mi. Deville, Computer Methods in AppliedMechanics and Engineering, 116, 201-210 (1994).
    • (1994) , vol.116 , pp. 201-210
    • Pinelli, A.1    Benocci, C.2    Deville, M.3
  • 57
    • 17544404974 scopus 로고    scopus 로고
    • Applied Mathematics and Computation
    • A. Akyüz-Dascioglu, Applied Mathematics and Computation, 151, 221-232 (2004).
    • (2004) , vol.151 , pp. 221-232
    • Akyüz-Dascioglu, A.1
  • 58
    • 40149104372 scopus 로고    scopus 로고
    • Applied Mathematics and Computation
    • E. Babolian, S. Abbasbandy, F. Fattahzadeh, Applied Mathematics and Computation, 198, 35-43 (2008).
    • (2008) , vol.198 , pp. 35-43
    • Babolian, E.1    Abbasbandy, S.2    Fattahzadeh, F.3
  • 59
    • 77953136569 scopus 로고    scopus 로고
    • Applied Mathematics and Computation
    • M. Gülsu, Y. Öztürk, M. Sezer, Applied Mathematics and Computation, 216, 2183-2198 (2010).
    • (2010) , vol.216 , pp. 2183-2198
    • Gülsu, M.1    Öztürk, Y.2    Sezer, M.3
  • 60
    • 23844518698 scopus 로고    scopus 로고
    • Journal of the Franklin Institute
    • A. Akyüz-Dascioglu, M. Sezer, Journal of the Franklin Institute, 342, 688-701 (2005).
    • (2005) , vol.342 , pp. 688-701
    • Akyüz-Dascioglu, A.1    Sezer, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.