Transform Methods for Solving Partial Differential EquationsCRC Press, 15 juil. 2004 - 728 pages Transform methods provide a bridge between the commonly used method of separation of variables and numerical techniques for solving linear partial differential equations. While in some ways similar to separation of variables, transform methods can be effective for a wider class of problems. Even when the inverse of the transform cannot be found ana |
Table des matières
| 1 | |
Methods Involving SingleValued Laplace Transforms | 61 |
Methods Involving SingleValued Fourier and Hankel Transforms | 221 |
Methods Involving Multivalued Laplace Transforms | 307 |
Methods Involving Multivalued Fourier Transforms | 425 |
The Joint Transform Method | 471 |
The WienerHopf Technique | 565 |
Worked Solution to Some of the Problems | 627 |
| 705 | |
Autres éditions - Tout afficher
Transform Methods for Solving Partial Differential Equations, Second Edition Dean G. Duffy Aucun aperçu disponible - 2004 |
Expressions et termes fréquents
Acoust analysis analytic applied boundary conditions boundary-value problem branch cut branch points Bromwich’s integral Bull circular closed compute conduction contour cosh cylinder Diffraction diffusion dynamic effect elastic equals equation and boundary evaluate Example field figure labeled Problem finite flow fluid follows Fourier transform function Geophys given by Equation half-plane half-space heat Indian infinite integral introduce inverse Laplace transform layer load located Math Mech medium method motion moving negative real axis Note numerical obtain partial differential equation Phys plane plate Proc propagation Pure Appl residue response semi-infinite side simple poles singularities solid solution Solve Sound Step stress surface Taken taking Tech technique temperature term theorem theory Trans Transfer Transient Unsteady variable viscous waves yields