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Dear Sir,

Kindly find the attachment.

In that Eq. (59) is deduced from Eq. (58) using the standard procedure in differential equations.

But I don't know how to proceed them.

Please suggest me that elementary procedure.

There does seem to be some missing information here. The term \lambda_0 T has mysteriously become C(k) e^() with a sqrt of \lambda appearing. I would need to know what this 'standard procedure' is, as it is not

obvious at all. We might suppose T is some function of exp (\tau) but that needs to come from somewhere else.

Bob.

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Differential Equations

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Questions on partial differential equations, particularly solution of time-dependent ones, and particularly parabolic. I have some knowledge of ODEs, but am out of practice with them.

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International Journal of Computers and Fluids, July 2011.
Moving mesh methods for solving parabolic partial differential equations
R. Marlow , M.E. Hubbard, P.K. Jimack.
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