NUMERICAL-SOLUTIONS OF THE REGULARIZED LONG-WAVE EQUATION

被引：27

作者：

JAIN, PC

ISKANDAR, L

机构：

[1] Department of Mathematics, Indian Institute of Technology, Bombay

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1979年 / 20卷 / 02期

关键词：

D O I：

10.1016/0045-7825(79)90017-3

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The combined approach of quasilinearization and invariant imbedding is used for computing solutions of the nonlinear regularized long-wave (RLW) equation. The accuracy and efficiency of the scheme is tested by obtaining a solitary wave solution of the equation. In another example the development of an undular bore is discussed. The results are in good agreement with the available results. © 1979.

引用

页码：195 / 201

页数：7

共 10 条

[1]

Peregrine, Calculations of the development of an undular bore, Journal of Fluid Mechanics, 25, pp. 321-330, (1966)

[2]

Benjamin, Bona, Mahony, Model equations for long waves in nonlinear dispersive systems, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 272 A, pp. 47-78, (1972)

[3]

Bona, Bryant, A mathematical model for long waves generated by wavemakers in non-linear dispersive systems, Mathematical Proceedings of the Cambridge Philosophical Society, 73, pp. 391-405, (1973)

[4]

Eilbeck, McGuire, Numerical study of the regularized long-wave equation 1 : Numerical methods, J. Comp. Phys., 19, pp. 43-57, (1975)

[5]

Eilbeck, Numerical studies of solitons, Proceedings of a symposium on nonlinear structure and dynamics in condensed matter, (1978)

[6]

Jain, Iskandar, Kadalbajoo, Iterative techniques for non-linear boundary control problems, Proceedings of International Conference on Optimization in Statistics, pp. 289-300, (1979)

[7]

Bellmann, Kalaba, Quasilinearization and nonlinear boundary value problems, (1965)

[8]

Angel, Bellmann, Dynamic programming and partial differential equations, (1972)

[9]

Benjamin, The stability of solitary waves, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 328 A, pp. 153-182, (1972)

[10]

Kadalbajoo, Jain, Invariant imbedding approach for the solution of the minimal surface equation, J. Math. Anal. Appl., 61, pp. 643-657, (1977)

← 1 →