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

A collection of R functions were implemented
from published and available analytic solutions for the
One-Dimensional Boussinesq Equation (ground-water). In
particular, the function "beq.lin()" is the analytic solution of
the linearized form of Boussinesq Equation between two
different head-based boundary (Dirichlet) conditions;
"beq.song" is the non-linear power-series analytic solution of
the motion of a wetting front over a dry bedrock (Song at al,
2007, see complete reference on function documentation).
Bugs/comments/questions/collaboration of any kind are warmly
welcomed.

Emanuele Cordano

boussinesq

Analytic Solutions for (Ground-Water) Boussinesq Equation

beq.lin.dimensionless function

<dl><dt>t</dt>
<dd>time coordinate.</dd>
<dt>x</dt>
<dd>spatial coordinate. Default is <code>seq(from=0,to=L,by=by)</code>.</dd>
<dt>big</dt>
<dd>maximum level of Fourier series considered. Default is 100000.</dd>
<dt>by</dt>
<dd>see <code><a href="/link/seq?package=boussinesq&version=1.0.6" data-mini-rdoc="boussinesq::seq">seq</a></code></dd>
<dt>L</dt>
<dd>length of the domain. It is used if <code>x</code> is not specified.</dd></dl>

Arguments

Author

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 — beq.lin.dimensionless

<dl>

<dt>t</dt>
<dd>time coordinate.</dd>


<dt>x</dt>
<dd>spatial coordinate. Default is <code>seq(from=0,to=L,by=by)</code>.</dd>


<dt>big</dt>
<dd>maximum level of Fourier series considered. Default is 100000.</dd>


<dt>by</dt>
<dd>see <code><a href='https://rdrr.io/r/base/seq.html'>seq</a></code></dd>


<dt>L</dt>
<dd>length of the domain. It is used if <code>x</code> is not specified.</dd>

</dl>

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

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

Usage

Value

Arguments

Author

References

See Also