dev.nm.analysis.differentialequation.pde.finitedifference

Class PDETimeSpaceGrid1D

java.lang.Object

dev.nm.analysis.differentialequation.pde.finitedifference.PDETimeSpaceGrid1D

public abstract class PDETimeSpaceGrid1D
extends Object

This grid numerically solves a 1D PDE, e.g., using the Crank-Nicolson scheme.

Field Summary

Fields

Modifier and Type	Field and Description
protected Vector[]	u the solution matrix

Constructor Summary

Constructors

Constructor and Description
PDETimeSpaceGrid1D(int M) Constructs a time-space grid.

Method Summary

Modifier and Type	Method and Description
abstract TridiagonalMatrix	getLHS(int m)
abstract Vector	getRHS(int m)
abstract void	initialCondition() Initializes the grid with the initial conditions.
Vector[]	propagate() Propagates the grid to the next time step by solving \(Au=d\).

Methods inherited from class java.lang.Object

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

Field Detail

u

protected final Vector[] u

the solution matrix

Constructor Detail

PDETimeSpaceGrid1D

public PDETimeSpaceGrid1D(int M)

Constructs a time-space grid.

Parameters:

M - the number of grid points along the time-axis (excluding the initial condition)

Method Detail

initialCondition

public abstract void initialCondition()

Initializes the grid with the initial conditions.

getLHS

public abstract TridiagonalMatrix getLHS(int m)

getRHS

public abstract Vector getRHS(int m)

propagate

public Vector[] propagate()

Propagates the grid to the next time step by solving \(Au=d\).

Returns:

the grid, u