Define the biharmonic eigenvalue equation by inheriting Equation base class. More...

Inheritance diagram for CppNoddy::Example::Biharmonic_equation:

Public Member Functions
	Biharmonic_equation ()
	The biharmonic is a 4th order complex problem. More...

void	residual_fn (const DenseVector< D_complex > &z, DenseVector< D_complex > &f) const
	We implement the equation as 4 first-order ODEs. More...

Public Member Functions inherited from CppNoddy::Equation< D_complex >
	Equation (const unsigned &order)
	Constructor for equation class. More...

virtual	~Equation ()
	An empty destructor, virtual since we have virtual methods. More...

Public Member Functions inherited from CppNoddy::Residual_with_coords< _Type, _Xtype >
	Residual_with_coords (const unsigned &order, const unsigned &ncoords)
	Constructor for a 'square' residual object that is, N residuals for N unknowns. More...

	Residual_with_coords (const unsigned &order, const unsigned &nvars, const unsigned &ncoords)
	Constructor for a 'non-square' residual object that is, there are less residual constraints than unknowns. More...

virtual	~Residual_with_coords ()
	An empty destructor. More...

_Xtype &	coord (const unsigned &i)
	General handle access to the coordinates. More...

const _Xtype &	coord (const unsigned &i) const
	General handle access to the coordinates. More...

Public Member Functions inherited from CppNoddy::Residual< _Type >
	Residual (const unsigned &order)
	Constructor for a 'square' residual object that is, N residuals for N unknowns. More...

	Residual (const unsigned &order, const unsigned &nvars)
	Constructor for a 'non-square' residual object that is, there are less residual constraints than unknowns. More...

virtual	~Residual ()
	An empty destructor, virtual since we have virtual methods. More...

void	update (const DenseVector< _Type > &state)
	Update the Residual object for the current set of state variables. More...

const DenseVector< _Type > &	residual () const
	Return a handle to the residuals corresponding to the last update state. More...

const DenseMatrix< _Type > &	jacobian () const
	Retrun a handle to the Jacobian of the residual corresponding to the last update state. More...

_Type &	delta ()

const _Type &	delta () const

unsigned	get_order () const
	Get the order of the residual vector. More...

unsigned	get_number_of_vars () const
	Get the number of variables that this residual condition is defined for. More...

virtual void	residual_fn (const DenseVector< _Type > &state, DenseVector< _Type > &f) const
	A blank virtual residual function method. More...

Public Attributes
D_complex	lambda
	The eigenvalue. More...

Additional Inherited Members
Protected Member Functions inherited from CppNoddy::Residual< _Type >
virtual void	jacobian (const DenseVector< _Type > &state, DenseMatrix< _Type > &jac) const
	Because the residual evaluation at the current state is assumed to have already been done by the 'update' method, this routine is protected. More...

Protected Attributes inherited from CppNoddy::Residual_with_coords< _Type, _Xtype >
std::vector< _Xtype >	coords
	The coordinates stored for this residual. More...

Protected Attributes inherited from CppNoddy::Residual< _Type >
DenseMatrix< _Type >	JAC_AT_LAST_STATE
	Jacobian for the last state vector. More...

DenseVector< _Type >	FN_AT_LAST_STATE
	Residual for the last state vector. More...

DenseVector< _Type >	LAST_STATE
	The last state vector. More...

_Type	DELTA
	A default step for FD computation of the Jacobian. More...

unsigned	ORDER_OF_SYSTEM
	The order of the system of equations. More...

unsigned	NUMBER_OF_VARS
	The number of elements in the state vector. More...

Detailed Description

Define the biharmonic eigenvalue equation by inheriting Equation base class.

Definition at line 22 of file EVPShootBiharmonic.cpp.

Constructor & Destructor Documentation

◆ Biharmonic_equation()

CppNoddy::Example::Biharmonic_equation::Biharmonic_equation ( )

inline

The biharmonic is a 4th order complex problem.

Definition at line 26 of file EVPShootBiharmonic.cpp.

26: Equation<D_complex>( 4 ) {}

CppNoddy::Equation

An equation object base class used in the BVP/IVP classes.

Definition: Equation.h:22

Member Function Documentation

◆ residual_fn()

void CppNoddy::Example::Biharmonic_equation::residual_fn	(	const DenseVector< D_complex > &	z,
		DenseVector< D_complex > &	f
	)		const

inline

We implement the equation as 4 first-order ODEs.

Definition at line 29 of file EVPShootBiharmonic.cpp.

      {
        f[ 0 ] = z[ 1 ];
        f[ 1 ] = z[ 2 ];
        f[ 2 ] = z[ 3 ];
        f[ 3 ] = - z[ 2 ] * 2.0 * lambda - z[ 0 ] * pow( lambda, 2 );
      }