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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
1168 SEPARATION OF VARIABLES AND INTEGRAL TRANSFORM METHODS
Originalproblem =
partialdifferentialequationfor
initialconditionsandboundaryconditions,
w w xt= ( , ),
{
ApplicationoftheLaplacetransform 13.6.1.1)(
withrespectto t
Solutionoftheordinarydifferentialequation
withtheboundaryconditions
Applicationoftheinverse
Laplacetransform 13.6.1.2)(
{
Problemfor transform =
ordinarydifferentialequation
for boundaryconditionsw w xp= ( , ),
~~
~~
Findingthetransform w w xp= ( , )
Obtainingsolutiontotheoriginalproblem: w w xt= ( , )
Figure 15.2: Solution procedure for linear boundary value problems using the Laplace
transfo
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Publisher Resources

ISBN: 9781466581494