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First-order Partial Differential Equations

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Book cover Partial Differential Equations and Solitary Waves Theory

Part of the book series: Nonlinear Physical Science ((NPS))

Abstract

In this chapter we will discuss the first order linear partial differential equations, homogeneous and inhomogeneous. Partial differential equations of first order are used to model traffic flow on a crowded road, blood flow through an elastic-walled tube, shock waves and as special cases of the general theories of gas dynamics and hydraulics.

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References

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Authors and Affiliations

  1. Department of Mathematics, Saint Xavier University, Chicago, IL, 60655, USA

    Abdul-Majid Wazwaz

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  1. Abdul-Majid Wazwaz
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© 2009 Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg

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Wazwaz, AM. (2009). First-order Partial Differential Equations. In: Partial Differential Equations and Solitary Waves Theory. Nonlinear Physical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00251-9_2

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  • DOI: https://doi.org/10.1007/978-3-642-00251-9_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00250-2

  • Online ISBN: 978-3-642-00251-9

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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