WOLFRAM SYSTEM MODELER

quadratureLobatto2

Integrate integral with user dependent inputs

Wolfram Language

In[1]:=
SystemModel["Modelica.Math.Nonlinear.Examples.quadratureLobatto2"]
Out[1]:=

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

This example solves the following integrands with function quadratureLobatto. The user can set the parameters, like "w" or "k", and can experiment with different integration intervals. The following integrals are computed:

  • integral(sin(x)*dx)
  • integral(sin(w*x)*dx)
  • elliptic integral

Syntax

quadratureLobatto2(Tolerance, a1, b1, a2, b2, w, a3, b3, k)

Inputs (9)

Tolerance

Default Value: 1e-5

Type: Real

Description: Error tolerance of integral value
a1

Default Value: 0

Type: Real

Description: Lower limit
b1

Default Value: 1

Type: Real

Description: Upper limit
a2

Default Value: 0

Type: Real

Description: Lower limit
b2

Default Value: 13

Type: Real

Description: Upper limit
w

Default Value: 5

Type: Real

Description: Angular velocity
a3

Default Value: 0

Type: Real

Description: Lower limit
b3

Default Value: Modelica.Constants.pi / 2

Type: Real

Description: Upper limit
k

Default Value: 1 / sqrt(2)

Type: Real

Description: Modul