Solution of Partial Differential Equations
نویسنده
چکیده
We encounter partial differential equations routinely in transport phenomena. Some examples are unsteady flow in a channel, steady heat transfer to a fluid flowing through a pipe, and mass transport to a falling liquid film. Here, we shall learn a method for solving partial differential equations that complements the technique of separation of variables. We shall also learn when the method can be used. We consider the same model problem, namely the motion induced in fluid contained between two long and wide parallel plates placed with a distance b between them as shown in the sketch below.
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