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
24.4. Numerical Solutions of Systems of Linear PDEs 1397
(see
help pdepe
). The class of 1D parabolic-elliptic PD Es defined in D = {a x b,
t
0
t t
f
} to which the function
pdepe
can be applied has the form
C(x,t)u
t
= x
m
x
x
m
f(x,t,u,u
x
)
+ s(x,t,u,u
x
), (24.4.1.1)
where u is the unknown vector function that depends on the scalar space variable x and the
scalar time variable t; the flux function f and the source function s are vector functions; the
integer m ∈{0,1,2} corresponds to slab, cylindrical, and spherical symmetry, respectively;
the function C is a diagonal matrix whose diagonal entries are zero or positive (which
corresponds to elliptic or parabol ...
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