Numerical Simulation of Wave Equation

Md.Saiduzzaman; Md.Yeadul Islam Shaikh; SM Sala Uddin Samrat

Numerical Simulation of Wave Equation

Md.Saiduzzaman * §

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Md.Yeadul Islam Shaikh §

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SM Sala Uddin Samrat §

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§ International University of Business Agriculture and...

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Abstract

Wave equation is a very important equation in applied mathematics. This equation is used to simulate large destructive waves in fjord, lake, or the ocean generated by slides, earthquakes, subsea volcanoes, meteorites. It has analytical solution but it is time consuming. Therefore one needs to use numerical methods for solving this equation. For this we investigate finite difference method and present explicit upwind difference scheme for one dimensional wave equation, central difference scheme for second order wave equation. We implement the numerical scheme by computer programming for initial boundary value problem and verify the qualitative behavior of the numerical solution of the wave equation.

References

8 Cites in Article

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1. Alfio quarteroni,Luca Formaggia Mathematical Modelling and Numerical Simulation of the Cardiovascular System.
2. Knut Andress,Lie The Wave Equation in 1D and 2D. Dept. of Informatics, University of Oslo
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6. (2013). Numerical Methods for Hyperbolic Systems-Eric Sonnendrucker-2013.
7. Stepan Tersian (2005). Partial Differential Equations-Stepan Tersian, April- 2005. Partial Differential Equations-Stepan Tersian
8. L. Andellah (2007). Explicit Finite Difference Method. Lecture note

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Md.Saiduzzaman, Md.Yeadul Islam Shaikh, SM Sala Uddin Samrat. 2014. "Numerical Simulation of Wave Equation". Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 14 (GJSFR Volume 14 Issue 44 (A7)).

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GJSFR Volume 14 Issue 44 (A7)

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

central difference scheme equation of continuity explicit upwind difference scheme linear advection equation Wave equation

Classification

GJSFR-A Classification FOR Code: 029999

Submission ReceivedOctober 29, 2014
Peer Review Double Blind
Handling Editor
Accepted November 22, 2014
Published November 10, 2014

Version of record

v1.2

Issue date

November 10, 2014

Language

English

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Article Matrices

Total Score: 103

Country: Bangladesh

Subject: Global Journal of Science Frontier Research - A: Physics & Space Science

Authors: Md.Saiduzzaman, Md.Yeadul Islam Shaikh, SM Sala Uddin Samrat (PhD/Dr. count: 0)

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Publish Date: 2014 11, Wed

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Total Views: 1.6K

Total Downloads: 103

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