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Show that the non-linear, one-dimensional porous medium equation du(x,t) at v(u(x,t)), (2) has a separable solution with u > 0, y > 1 fort
Show that the non-linear, one-dimensional porous medium equation du(x,t) at v(u(x,t)"), (2) has a separable solution with u > 0, y > 1 fort 2 0. For X(x) you can use the Ansatz X (x) = |r|. Determine a as function of y.
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Numerical Analysis
Authors: Richard L. Burden, J. Douglas Faires
9th edition
538733519, 978-1133169338, 1133169333, 978-0538733519
