bvpT32
bvpT32 | |
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Contributor: | testset of J.R. Cash |
Discipline: | academic test |
Accession: | 2013 |
Short description:
A fourth order differential equations that is reduced to a first order system of 4 equations.
Applicable solvers:
all the solvers supported by the Test Set.
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
This problem arises from fluid injection through one side of a long vertical
channel
Download:
- Fortran code: bvpT32.f
- matlab code: bvpT32.m
- R code: first order: bvpT32.R, high order: bvpT32_ho.R