Partial differential equations : analytical solution techniques /
J. Kevorkian.
- Second edition
- xi, 636 pages : illustrations ; 25 cm
- Texts in applied mathematics ; 35 .
Includes bibliographical references and index.
1. The diffusion equation -- 2. Laplace's Equation -- 3. The wave equation -- 4. Linear second-order equations with two independent variables -- 5. The Scalar quasilinear first-order equation -- 6. Nonlinear first-order equations -- 7. Quasilinear hyperbolic systems -- 8. Approximate solutions by perturbation methods -- Appendices: -- 1. Review of Green's function for ODEs using the Dirac delta function -- 2. Review of Fourier and Laplace transforms -- 3. Review of asymptotic expansions.