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Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
book

Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition

by Andrei D. Polyanin, Vladimir E. Nazaikinskii
December 2015
Intermediate to advanced content levelIntermediate to advanced
1643 pages
59h 33m
English
Chapman and Hall/CRC
Content preview from Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
5.2. Heat Equation with Source
∂w
∂t
= a
3
w + Φ(x, y, z, t) 533
2
. The solution w(r, ϕ, z, t) of the second boundary value problem for an infinite wedge
domain is given by the formula in Section 5.1.2 (see the second boundary value problem
for 0 r < , 0 ϕ ϕ
0
, −∞ < z < ) with the additional term (6); the Green’s
function is also taken from Section 5.1.2.
Domain: 0 r < , 0 ϕ ϕ
0
, 0 z < . Different boundary value
problems.
1
. The solution w(r, ϕ, z, t) of the first boundary value problem for a semiinfinite wedge
domain is given by the formula in S ection 5.1.2 (see the first boundary value problem for
0 r < , 0 ϕ ϕ
0
, 0 z < ) with ...
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Publisher Resources

ISBN: 9781466581494