Unjuk Kerja Beberapa Metode Volume Hingga untuk Persamaan Burgers
Kata Kunci:
metode volume hingga,, persamaan Burgers, unjuk kerjaAbstrak
Enam metode volume volume hingga diuji unjuk kerjanya dalam menyelesaikan persamaan Burgers. Keenam metode tersebut adalah metode upwind non-konservatif, upwind konservatif, Lax-Friedrichs, Lax-Wendroff, MacCormack, dan Godunov. Dari perbandingan hasil simulasi, diperoleh bahwa metode upwind konservatif mempunyai unjuk kerja paling baik dalam menyelesaikan persamaan Burgers.
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Data unduhan belum tersedia.
Referensi
M. Landajuela, Burgers Equation, Bilbao: Basque Center for Applied Mathematics, 2011.
W. E Schiesser and G. W. Griffiths, A Compendium of Partial Differential Equation Models, New York: Cambridge University Press, 2009.
D. A. Caughey and M. M. Hafez, Frontiers of Computational Fluid Dynamics 2002, Singapore: World Scientific, 2002.
S. Bak, P. Kim, and D. Kim, ―A semi-Lagrangian approach for numerical simulation of coupled Burgers' equations, Communications in Nonlinear Science and Numerical Simulation, vol. 69, pp. 31-44, 2019.
A. G. Bratsos and A. Q. M. Khaliq, ―An exponential time differencing method of lines for the Burgers and the modified Burgers equations, Numerical Methods for Partial Differential Equations, vol. 34, no. 6, pp. 2024-2039, 2018.
A. J. Howse, H. D. Sterck, R. D. Falgout, S. MacLachlan, and J. Schroder, ―Parallel-in-time multigrid with adaptive spatial coarsening for the linear advection and inviscid Burgers equations, SIAM Journal on Scientific Computing, vol. 41, no. 1, pp. A538-A565, 2019.
F. Liu, Y. Wang, and S. Li, ―Barycentric interpolation collocation method for solving the coupled viscous Burgers' equations, International Journal of Computer Mathematics, vol. 95, no. 11, pp. 2162-2173, 2018.
S. Nath and C. S. Rao, ―Asymptotic periodic solutions of some generalized Burgers equations, Applied Mathematics-A Journal of Chinese Universities, vol. 33, no. 4, pp. 390-408, 2018.
R. J. LeVeque, Numerical Methods for Conservations Laws, Second Edition, Basel: Birkhauser, 1992.
R. J. LeVeque, Finite Volume Methods for Hyperbolic Problems, Cambridge: Cambridge University Press, 2014.
B. L. Christabella, Penyelesaian Numeris Persamaan Burgers Menggunakan Beberapa Metode Volume Hingga, Skripsi, Program Studi Matematika, Fakultas Sains dan Teknologi, Universitas Sanata Dharma, Yogyakarta, 2018.
W. E Schiesser and G. W. Griffiths, A Compendium of Partial Differential Equation Models, New York: Cambridge University Press, 2009.
D. A. Caughey and M. M. Hafez, Frontiers of Computational Fluid Dynamics 2002, Singapore: World Scientific, 2002.
S. Bak, P. Kim, and D. Kim, ―A semi-Lagrangian approach for numerical simulation of coupled Burgers' equations, Communications in Nonlinear Science and Numerical Simulation, vol. 69, pp. 31-44, 2019.
A. G. Bratsos and A. Q. M. Khaliq, ―An exponential time differencing method of lines for the Burgers and the modified Burgers equations, Numerical Methods for Partial Differential Equations, vol. 34, no. 6, pp. 2024-2039, 2018.
A. J. Howse, H. D. Sterck, R. D. Falgout, S. MacLachlan, and J. Schroder, ―Parallel-in-time multigrid with adaptive spatial coarsening for the linear advection and inviscid Burgers equations, SIAM Journal on Scientific Computing, vol. 41, no. 1, pp. A538-A565, 2019.
F. Liu, Y. Wang, and S. Li, ―Barycentric interpolation collocation method for solving the coupled viscous Burgers' equations, International Journal of Computer Mathematics, vol. 95, no. 11, pp. 2162-2173, 2018.
S. Nath and C. S. Rao, ―Asymptotic periodic solutions of some generalized Burgers equations, Applied Mathematics-A Journal of Chinese Universities, vol. 33, no. 4, pp. 390-408, 2018.
R. J. LeVeque, Numerical Methods for Conservations Laws, Second Edition, Basel: Birkhauser, 1992.
R. J. LeVeque, Finite Volume Methods for Hyperbolic Problems, Cambridge: Cambridge University Press, 2014.
B. L. Christabella, Penyelesaian Numeris Persamaan Burgers Menggunakan Beberapa Metode Volume Hingga, Skripsi, Program Studi Matematika, Fakultas Sains dan Teknologi, Universitas Sanata Dharma, Yogyakarta, 2018.
Unduhan
Diterbitkan
2020-11-17
Cara Mengutip
Christabella, B. L., & Mungkasi, S. (2020). Unjuk Kerja Beberapa Metode Volume Hingga untuk Persamaan Burgers. Prosiding Seminar Nasional Sains Teknologi Dan Inovasi Indonesia (SENASTINDO), 2, 323–330. Diambil dari https://aau.e-journal.id/senastindo/article/view/119
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