Transform Methods for Linear PDEs
نویسنده
چکیده
Synonyms Transform methods, separation of variables, eigenfunction expansions, spectral representations. Transform methods replace differentiation in one variable with multiplication by a " transform " variable. Description The utility of transform methods essentially stems from the fact that they replace differentiation in one variable with multiplication by a transform variable. Hence, a PDE in m variables can be converted into a PDE in m−1 variables, and thus ultimately to an ODE, or algebraic equation.
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تاریخ انتشار 2013