참고문헌
- S.K. Chung, Finite difference approximate solutions for the Rosenau equation, Appl. Anal. 69 (1.2) (1998) 149-156. https://doi.org/10.1080/00036819808840652
- S.K. Chung, A.K. Pani, Numerical methods for the Rosenau equation, Appl. Anal. 77 (2001) 351-369. https://doi.org/10.1080/00036810108840914
- B. Hu, Y.C. Xu, J.S. Hu, Crank-Nicolson finite difference scheme for the Rosenau-Burgers equation, Appl. Math. Comput. 204 (2008) 311-316.
- J.S. Hu, B. Hu, Y.C. Xu, Average implicit linear difference scheme for generalized Rosenau-Burgers equation, Appl. Math. Comput. 217 (2011) 7557-7563.
- Y.D. Kim, H.Y. Lee, The convergence of finite element Galerkin solution for the Rosenau equation, Korean J. Comput. Appl. Math. 5 (1998) 171-180.
- L. Liu, M. Mei, A better asymptotic profile of Rosenau-Burgers equation, Appl. Math. Comput. 131 (2002) 147-170.
- L. Liu, M. Mei, Y.S. Wong, Asymptotic behavior of solutions to the Rosenau-Burgers equation with a periodic initial boundary, Nonlinear Anal. 67 (2007) 2527-2539. https://doi.org/10.1016/j.na.2006.08.047
- S.A. Manickam, A.K. Pani, S.K. Chung, A second-order splitting combined with orthogonal cubic spline collocation method for the Rosenau equation, Numer. Meth. Partial Diff. Eq. 14 (1998) 695-716. https://doi.org/10.1002/(SICI)1098-2426(199811)14:6<695::AID-NUM1>3.0.CO;2-L
- M. Mei, Long-time behavior of solution for Rosenau-Burgers equation (I), Appl. Anal. 63 (1996) 315-330. https://doi.org/10.1080/00036819608840511
- M. Mei, Long-time behavior of solution for Rosenau-Burgers equation (II), Appl. Anal. 68 (1998) 333-356. https://doi.org/10.1080/00036819808840635
- X.T. Pan, L.M. Zhang, A new finite difference scheme for the Rosenau-Burgers equation, Appl. Math. Comput. 218 (2012) 8917-8924.
- M.A. Park, On the Rosenau equation, Math. Appl. Comput. 9 (1990) 145-152
- P.M. Prenter, Splines and variational methods, John Wiley and Sons, New York, 1975.
- P. Rosenau, A quasi-continuous description of a nonlinear transmission line, Phys. Scripta 34 (1986) 827-829. https://doi.org/10.1088/0031-8949/34/6B/020
- P. Rosenau, Dynamics of dense discrete systems, Progr. Theor. Phys. 79 (1988) 1028-1042. https://doi.org/10.1143/PTP.79.1028
- A.A. Soliman, A Galerkin solution for Burgers equation using Cubic B-spline finite elements. Abstr. Appl. Anal. 2012 (2012). Hindawi Publishing Corporation.
- G.Y. Xue, L.M. Zhang, A new finite difference scheme for generalized Roseau-Burgers equation. Appl. Math. Comput. 222 (2013) 490-496.