Skip to Main Content
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
528 SECOND-ORDER PARABOLIC EQUATIONS WITH THREE OR MORE SPACE VARIABLES
4
. The solutions w(x, y, z, t) of mixed boundary value problems for a rectangular paral-
lelepiped are given by the formulas in Section 5.1.1 (see the mixed boundary value prob-
lems for 0 x l
1
, 0 y l
2
, 0 z l
3
) with additional terms of the form (6); the
Green’s function is also taken from Section 5.1.1.
Literature: A. G. Butkovskiy (1979), H. S. C arsl aw and J. C. Jaeger (1984).
5.2.2 Problems in Cylindrical Coordinates
In the cylindrical coordinate system, the heat equation with a volume source is written as
∂w
∂t
= a
1
r
∂r
r
∂w
∂r
+
1
r
2
2
w
∂ϕ
2
+
2
w
∂z
2
+ Φ(r, ϕ, z, t
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Differential Equations, 2nd Edition

Differential Equations, 2nd Edition

Steven G. Krantz

Publisher Resources

ISBN: 9781466581494