blocku_xCD2B2
Extends from PDE.Icons.BlockIcon.
Information
Computes the second-order central difference approximation to the first-order space derivative with second-order biased approximation for boundary points.
By using the Newton-Gregory backward polynomial we obtain
For second-order central difference approximation, we need to fit the polynomial through the three points
xi-1, xi, xi+1. This means to write the polynomial for example around the point xi+1,
drop the higher-oder terms and set s = -1 to obtain
For the boundary point x1 we use biased formula and obtain
By using the same idea we obtain a biased formula for the boundary point xn
Release Notes:
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Real | deltax | 1/(n - 1) |
Connectors
| Type | Name | Default | Description |
|---|---|---|---|
| Modelica.Blocks.Interfaces.RealInput[n] | u | ||
| Modelica.Blocks.Interfaces.RealOutput[n] | y |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| Integer | n | ||
| Integer | bcl | ||
| Integer | bcr |