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FEM_NEUMANN - 1D Time-Dependent Reaction-Diffusion Equation, Neumann Boundary Conditions, Finite Element Method
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FEM_NEUMANN <br> 1D Time-Dependent Reaction-Diffusion Equation<br>
Neumann Boundary Conditions<br>
Finite Element Method
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<b>FEM_NEUMANN</b>
is a MATLAB program which
sets up a time-dependent reaction-diffusion equation in 1D,
with Neumann boundary conditions,
discretized using the finite element method,
by Eugene Cliff.
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Licensing:
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The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
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Related Data and Programs:
</h3>
<p>
<a href = "../../m_src/fem1d/fem1d.html">
FEM1D</a>,
a MATLAB program which
applies the finite element method to a 1D linear two point
boundary value problem.
</p>
<p>
<a href = "../../m_src/fem1d_adaptive/fem1d_adaptive.html">
FEM1D_ADAPTIVE</a>,
a MATLAB program which
applies the finite element method to a 1D linear two point
boundary value problem
using adaptive refinement to improve the solution.
</p>
<p>
<a href = "../../m_src/fem1d_bvp_linear/fem1d_bvp_linear.html">
FEM1D_BVP_LINEAR</a>,
a MATLAB program which
applies the finite element method, with piecewise linear elements,
to a two point boundary value problem in one spatial dimension.
</p>
<p>
<a href = "../../m_src/fem1d_nonlinear/fem1d_nonlinear.html">
FEM1D_NONLINEAR</a>,
a MATLAB program which
applies the finite element method to a 1D nonlinear two point
boundary value problem.
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<p>
<a href = "../../m_src/fem1d_pack/fem1d_pack.html">
FEM1D_PACK</a>,
a MATLAB library which
contains utilities for 1D finite element calculations.
</p>
<p>
<a href = "../../m_src/fem1d_pmethod/fem1d_pmethod.html">
FEM1D_PMETHOD</a>,
a MATLAB program which
applies the p-method version of the finite element method to a 1D linear
two point boundary value problem.
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Author:
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<p>
Eugene Cliff
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Reference:
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<p>
<ol>
<li>
Jeffrey Borggaard, John Burkardt, John Burns, Eugene Cliff,<br>
Working Notes on a Reaction Diffusion Model: a Finite Element Formulation.
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</ol>
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Source Code:
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<p>
<ul>
<li>
<a href = "basic_hat.m">basic_hat.m</a>,
evaluates the basic hat function on [-1, 1].
</li>
<li>
<a href = "plot_rd.m">plot_rd.m</a>,
makes two plots of the reaction-diffusion solution.
</li>
<li>
<a href = "rd_fem.m">rd_fem.m</a>,
solves a 1D reaction/diffusion problem using finite elements.
</li>
<li>
<a href = "rd_lin_spline.m">rd_lin_spline.m</a>,
discretizes and solves a 1D reaction diffusion problem.
</li>
<li>
<a href = "timestamp.m">timestamp.m</a>,
prints the current YMDHMS date as a time stamp.
</li>
</ul>
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Examples and Tests:
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<ul>
<li>
<a href = "solution.png">solution.png</a>,
a surface plot of W(T,X).
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<li>
<a href = "solution_norm.png">solution_norm.png</a>,
a plot of the time-evolution of the spatial L2 norm of W(T,*).
</li>
</ul>
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<p>
You can go up one level to <a href = "../m_src.html">
the MATLAB source codes</a>.
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<i>
Last modified on 05 April 2011.
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<!-- John Burkardt -->
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