Package nl.tudelft.simulation.jstats.ode

Class DifferentialEquationTest

java.lang.Object

nl.tudelft.simulation.jstats.ode.DifferentialEquationTest

public class DifferentialEquationTest
extends Object

The test script for the ODE package.

Copyright (c) 2002-2024 Delft University of Technology, Jaffalaan 5, 2628 BX Delft, the Netherlands. All rights reserved. See for project information https://simulation.tudelft.nl. The DSOL project is distributed under a three-clause BSD-style license, which can be found at https://https://simulation.tudelft.nl/dsol/docs/latest/license.html.

Since:

1.5

Author:

Peter Jacobs

Nested Class Summary

Nested Classes

Modifier and Type	Class	Description
(package private) class	DifferentialEquationTest.ODE	ODE.
(package private) class	DifferentialEquationTest.StiffODE	Stiff ODE.

Constructor Summary

Constructors

Constructor	Description
DifferentialEquationTest()

Method Summary

Modifier and Type	Method	Description
void	testODE()	tests the differential equation solvers on y' = x.y^(1/3); see F.
void	testODEStiff()	tests the differential equation solvers on the stiff equation y" + 101y' + 100y = 0.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Details

DifferentialEquationTest

public DifferentialEquationTest()

Method Details

testODE

@Test
public void testODE()

tests the differential equation solvers on y' = x.y^(1/3); see F. Scheid, Numerical Analysis, 2nd Edition, p.204 (Schaum Outline Series). for x=1..5, solutions are: 1: 1.0; 2: 2.82843; 3: 7.02113; 4: 14.69694; 5: 27.0.

testODEStiff

@Test
public void testODEStiff()

tests the differential equation solvers on the stiff equation y" + 101y' + 100y = 0. This can be split into two equations: y' = p and p' = -100y -101p with y(0) = 1 and p(0) = -1. The exact solution is y(x) = exp(-x). see F. Scheid, Numerical Analysis, 2nd Edition, p.236 (Schaum Outline Series).