beq.lin.dimensionless: Analytic exact solution for Dimentionless (i. e. diffusivity equal to 1 - unity) One Dimensional Heat Equation in a two-bounded domain with two constant-value Dirichlet Conditions
Description
Analytic exact solution for Dimentionless (i. e.
diffusivity equal to 1 - unity) One Dimensional Heat
Equation in a two-bounded domain with two constant-value
Dirichlet Conditions
Usage
beq.lin.dimensionless(t = 0, x = seq(from = 0, to = L, by = by), big = 1e+05, by = L * 0.01, L = 1)
Arguments
t
time coordinate.
x
spatial coordinate. Default is
seq(from=0,to=L,by=by).
big
maximum level of Fourier series considered.
Default is 100000.
length of the domain. It is used if x is
not specified.
Value
Solutions for the specificied values of x and
t
References
Rozier-Cannon, J. (1984), The One-Dimensional Heat
Equation, Addison-Wesley Publishing Company, Manlo Park,
California, encyclopedia of Mathematics and its
applications.