Fourth-order method for the solution of diffusion equation subject to the specification of energy
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Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
Society of Physics and Natural History of Geneva
Abstract
A fourth-order numerical technique is developed for the solution of the diffusion equation
( ut =uxx + s x, t),0 < x < X,0 < t £ T, subject to u(x,0) = f (x),0 < x < X,u(1, t) = g(t),0 < t £ T and the
specification of energy
0
( , ) ( ), 0 , 0
b
u x t dx = M t < b < X < t £ T .
Description
Keywords
Mathematics, Method of Lines, Non-Local Boundary Condition
Citation
Archives Des Sciences Vol 65, No. 4; Apr 2012, 119-130