First-order Partial Differential Equations

  • Abdul-Majid Wazwaz
Part of the Nonlinear Physical Science book series (NPS)


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.


Decomposition Method Recursive Relation Operator Form Noise Term Inverse Operator 
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Copyright information

© Higher Education Press, Beijing and Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Abdul-Majid Wazwaz
    • 1
  1. 1.Department of MathematicsSaint Xavier UniversityChicagoUSA

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