bvpT14
bvpT14 | |
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Contributor: | testset of J.R. Cash |
Discipline: | academic test |
Accession: | 2013 |
Short description:
A second order differential equations that is reduced to a first order system of 2 equations.
Applicable solvers:
all the solvers supported by the Test Set.
Plots of the solution <- click to generate the plots of the solution and the textual output
Mathematical description:
The problem is
with
We write this problem in first order form by defining and , yielding a system of differential equations of the form
where
with
The boundary conditions are obtained from
Exact solution
The solution has a boundary layer of width near and
Download:
- Fortran code: bvpT14.f
- matlab code: bvpT14.m
- R code: first order: bvpT14.R, high order: bvpT14_ho.R