Analytic studies and numerical simulations of the generalized Boussinesq equation

Mohamed Ali Hajji, Kamel Al-Khaled

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

The modified Adomian decomposition method is used to solve the generalized Boussinesq equation. The equation commonly describes the propagation of small amplitude long waves in several physical contents. The analytic solution of the equation is obtained in the form of a convergent series with easily computable components. For comparison purposes, a numerical algorithm, based on Chebyshev polynomials, is developed and simulated. Numerical results show that the modified Adomian decomposition method proves to be more accurate and computationally more efficient than the Galerkin-Chebyshev method.

Original languageEnglish
Pages (from-to)320-333
Number of pages14
JournalApplied Mathematics and Computation
Volume191
Issue number2
DOIs
Publication statusPublished - Aug 15 2007

Fingerprint

Modified Decomposition Method
Adomian Decomposition Method
Boussinesq Equations
Generalized Equation
Decomposition
Numerical Simulation
Chebyshev's Method
Computer simulation
Chebyshev Polynomials
Galerkin Method
Analytic Solution
Numerical Algorithms
Polynomials
Propagation
Numerical Results
Series
Form

Keywords

  • Boundary-value problems
  • Chebyshev polynomials
  • Decomposition method
  • Numerical simulations
  • Singularly perturbed Boussinesq equation
  • Solitary wave solutions

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

Analytic studies and numerical simulations of the generalized Boussinesq equation. / Hajji, Mohamed Ali; Al-Khaled, Kamel.

In: Applied Mathematics and Computation, Vol. 191, No. 2, 15.08.2007, p. 320-333.

Research output: Contribution to journalArticle

Hajji, Mohamed Ali ; Al-Khaled, Kamel. / Analytic studies and numerical simulations of the generalized Boussinesq equation. In: Applied Mathematics and Computation. 2007 ; Vol. 191, No. 2. pp. 320-333.
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