Laplace Transform Technique for Partial Differential Equations PDEs in Finite Domains

1 Laplace Transform Technique for Partial Differential Equations (PDEs) in Finite Domains 

Transient heat conduction or mass transfer in solids with constant physical properties (diffusion coefficient, thermal diffusivity, thermal conductivity, etc.) is usually represented by a linear parabolic partial differential equation. In this chapter, we describe how one can arrive at the analytical solutions for linear first order hyperbolic partial differential equations and parabolic partial differential equations in finite domains using the Laplace transform technique. 

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