C-N Difference Schemes for Dissipative Symmetric Regularized Long Wave Equations with Damping Term

Joint Authors

Xu, Youcai
Hu, Bing
Hu, Jinsong

Source

Mathematical Problems in Engineering

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-04-19

Country of Publication

Egypt

No. of Pages

16

Main Subjects

Civil Engineering

Abstract EN

We study the initial-boundary problem of dissipative symmetric regularized long wave equations with damping term.

Crank-Nicolson nonlinear-implicit finite difference scheme is designed.

Existence and uniqueness of numerical solutions are derived.

It is proved that the finite difference scheme is of second-order convergence and unconditionally stable by the discrete energy method.

Numerical simulations verify the theoretical analysis.

American Psychological Association (APA)

Hu, Jinsong& Hu, Bing& Xu, Youcai. 2011. C-N Difference Schemes for Dissipative Symmetric Regularized Long Wave Equations with Damping Term. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-488339

Modern Language Association (MLA)

Hu, Jinsong…[et al.]. C-N Difference Schemes for Dissipative Symmetric Regularized Long Wave Equations with Damping Term. Mathematical Problems in Engineering No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-488339

American Medical Association (AMA)

Hu, Jinsong& Hu, Bing& Xu, Youcai. C-N Difference Schemes for Dissipative Symmetric Regularized Long Wave Equations with Damping Term. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-488339

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-488339