Partial differential equations for scientists and engineers
Practical text shows how to formulate and solve partial differential equations. Coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, numerical and approximate methods. Solution guide available upon request. 1982 edition.
What people are saying - Write a review
We haven't found any reviews in the usual places.
Introduction to Partial Differential Equations
DiffusionType Problems Parabolic Equations
Boundary Conditions for DiffusionType Problems
32 other sections not shown
Other editions - View all
a2uxx approximation basic boundary conditions boundary-value problems canonical form circle conformal mappings convection coordinates cosine transform curve D'Alembert solution depends diagram diffusion Dirichlet problem drumhead eigenfunctions eigenvalues elliptic Euler-Lagrange equation example Figure find the solution finite sine finite-difference flux formula Fourier series Fourier transform frequency function f(x given gives graph Green's function grid points heat equation heat flow hence homogeneous hyperbolic IBVP initial conditions initial-value problem inside integral transforms interior Dirichlet problem interpretation inverse Laplace transform Laplace's equation Laplacian linear Mathematical minimizing function Monte Carlo method nonhomogeneous nonlinear Note one-dimensional original problem parabolic partial derivatives Partial Differential Equations PDE V2u physical potential PURPOSE OF LESSON reader separation of variables simple sine and cosine sine transform solution u(x,t solve PDE steady-state STEP substitute technique velocity wave equation wino z-plane zero