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Laplace Transform Technique for Partial Differential Equations PDEs in Finite Domains

1 Laplace Transform Technique for Partial Differential Equations (PDEs) in Finite Domains [Pg.679]

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. [Pg.679]




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Differential equations partial

Differential equations, Laplace transform

Differential equations, Laplace transform technique

Differential techniques

Domain finite

Equation Laplace

Equation Laplace transform

For transformations

In transformations

LaPlace transformation equation

Laplace

Laplace transform

Laplace transform technique equations

Laplace transform technique for partial

Laplace transform technique for partial differential equations

Laplace transform technique partial differential equations

Laplace transforms

PDE

Partial differential

Partial differential equations Laplace transform

Partial equation

Transformation equation

Transformation techniques

Transformer, differential

Transforms Laplace transform

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