Numerical Schemes for a Model for Nonlinear Dispersive Waves.

Abstract

A description is given of a number of numerical schemes to solve an evolution equation (Korteweg-deVries) that arises when modelling the propagation of water waves in a channel. The discussion also includes the results of numerical experiments made with each of the schemes. It is suggested, on the basis of these experiments, that one of the schemes may have (discrete) solitary-wave solutions. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1983
Accession Number
ADA137920

Entities

People

  • J. L. Bona
  • L. R. Scott
  • W. G. Pritchard

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Accuracy
  • Amplitude
  • Computational Fluid Dynamics
  • Computational Science
  • Contracts
  • Difference Equations
  • Differential Equations
  • Equations
  • Errors
  • Fluid Mechanics
  • Mathematics
  • Mechanics
  • Numerical Analysis
  • Solitons
  • United States
  • Water Waves
  • Waveforms

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)