An approximation of the analytic solution of the shock wave equation

Fathi M Allan, Kamel Al-Khaled

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

In this article we discuss the analytic solution of the fully developed shock waves. The Adomian decomposition method is used to solve the shock wave equation which describes the flow of gases. Unlike the various numerical techniques, which are usually valid for short period of time, the solution of the presented equation is analytic for 0 {less-than or slanted equal to} t <∞. Also, the results presented here indicate that the method is reliable, accurate and converges very rapidly.

Original languageEnglish
Pages (from-to)301-309
Number of pages9
JournalJournal of Computational and Applied Mathematics
Volume192
Issue number2
DOIs
Publication statusPublished - Aug 1 2006

Fingerprint

Wave equations
Analytic Solution
Shock Waves
Shock waves
Wave equation
Adomian Decomposition Method
Less than or equal to
Approximation
Numerical Techniques
Period of time
Flow of gases
Valid
Decomposition
Converge
Gas

Keywords

  • Conservation law
  • Shock wave equations
  • Soliton solutions
  • The Adomian decomposition method

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

An approximation of the analytic solution of the shock wave equation. / M Allan, Fathi; Al-Khaled, Kamel.

In: Journal of Computational and Applied Mathematics, Vol. 192, No. 2, 01.08.2006, p. 301-309.

Research output: Contribution to journalArticle

M Allan, Fathi ; Al-Khaled, Kamel. / An approximation of the analytic solution of the shock wave equation. In: Journal of Computational and Applied Mathematics. 2006 ; Vol. 192, No. 2. pp. 301-309.
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