# bvpT12

bvpT12 | |
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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.

**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 turning point of width at

**Download:**

- Fortran code: bvpT12.f
- matlab code: bvpT12.m
- R code: first order: bvpT12.R, high order: bvpT12_ho.R