Elementary Applied Partial Differential Equations: With Fourier Series and Boundary Value ProblemsPrentice-Hall, 1987 - 547 páginas This text is designed for engineers, scientists, and mathematicians with a background in elementary ordinary differential equations and calculus. |
Contenido
METHOD OF SEPARATION OF VARIABLES | 28 |
FOURIER SERIES | 75 |
VIBRATING STRINGS AND MEMBRANES | 113 |
Derechos de autor | |
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Elementary Applied Partial Differential Equations: With Fourier Series and ... Richard Haberman Sin vista previa disponible - 1998 |
Términos y frases comunes
a²u approximation at² ax² boundary value problem c₁ c₂ Consider converges cosine series density derivative determine Dirac delta function dx dx dx dy dx² eigenfunction expansion example Exercise exponentially finite Fourier coefficients Fourier cosine series Fourier series Fourier sine series Fourier transform function f(x Green's formula Green's function heat energy heat equation heat flow homogeneous boundary conditions homogeneous solution infinite series infinite space Green's initial condition initial value problem integral Laplace transform Laplace's equation linear combination membrane method of eigenfunction method of separation nonhomogeneous boundary conditions obtain ordinary differential equations orthogonal partial differential equation piecewise smooth Poisson's equation product solutions Rayleigh quotient satisfies separation of variables series of f(x sinh sketched in Fig Solve space Green's function t₁ temperature distribution thermal energy two-dimensional V²u vector x₁ zero λφ ди ди др ду пп ппх