DifferentialEquations Class Reference

Static Public Member Functions
static std::vector< double >	eulerMethod (std::function< double(double, double)> f, double x0, double y0, double h, int steps)
static std::vector< double >	rungeKutta4 (std::function< double(double, double)> f, double x0, double y0, double h, int steps)
static std::vector< double >	adamsBashforth (std::function< double(double, double)> f, double x0, double y0, double h, int steps)
static std::vector< std::vector< double > >	systemRungeKutta4 (std::vector< std::function< double(double, const std::vector< double > &)> > f, double x0, const std::vector< double > &y0, double h, int steps)
static std::vector< double >	shootingMethod (std::function< double(double, double, double)> f, double a, double b, double alpha, double beta, int n=100)
static std::vector< std::vector< double > >	heatEquation1D (double alpha, double L, double T, int nx, int nt, std::function< double(double)> initialCondition, std::function< double(double)> boundaryLeft, std::function< double(double)> boundaryRight)
static std::vector< std::vector< double > >	waveEquation1D (double c, double L, double T, int nx, int nt, std::function< double(double)> initialPosition, std::function< double(double)> initialVelocity)
static std::vector< std::vector< double > >	laplaceEquation2D (int nx, int ny, double tolerance=1e-6, std::function< double(double, double)> boundaryCondition=nullptr)
static std::shared_ptr< Expression >	solveLinearODE (const std::vector< double > &coeffs, std::shared_ptr< Expression > rhs)
static std::shared_ptr< Expression >	solveSeparableODE (std::shared_ptr< Expression > expr)

Detailed Description

Definition at line 6 of file differential_equations.h.

Member Function Documentation

adamsBashforth()

std::vector< double > DifferentialEquations::adamsBashforth ( std::function< double(double, double)>  f, double  x0, double  y0, double  h, int  steps  )

static

Definition at line 58 of file differential_equations.cpp.

eulerMethod()

std::vector< double > DifferentialEquations::eulerMethod ( std::function< double(double, double)>  f, double  x0, double  y0, double  h, int  steps  )

static

Definition at line 11 of file differential_equations.cpp.

heatEquation1D()

std::vector< std::vector< double > > DifferentialEquations::heatEquation1D ( double  alpha, double  L, double  T, int  nx, int  nt, std::function< double(double)>  initialCondition, std::function< double(double)>  boundaryLeft, std::function< double(double)>  boundaryRight  )

static

Definition at line 220 of file differential_equations.cpp.

laplaceEquation2D()

std::vector< std::vector< double > > DifferentialEquations::laplaceEquation2D ( int  nx, int  ny, double  tolerance = 1e-6, std::function< double(double, double)>  boundaryCondition = nullptr  )

static

Definition at line 312 of file differential_equations.cpp.

rungeKutta4()

std::vector< double > DifferentialEquations::rungeKutta4 ( std::function< double(double, double)>  f, double  x0, double  y0, double  h, int  steps  )

static

Definition at line 32 of file differential_equations.cpp.

shootingMethod()

std::vector< double > DifferentialEquations::shootingMethod ( std::function< double(double, double, double)>  f, double  a, double  b, double  alpha, double  beta, int  n = 100  )

static

Definition at line 166 of file differential_equations.cpp.

solveLinearODE()

std::shared_ptr< Expression > DifferentialEquations::solveLinearODE ( const std::vector< double > &  coeffs, std::shared_ptr< Expression >  rhs  )

static

Definition at line 364 of file differential_equations.cpp.

solveSeparableODE()

std::shared_ptr< Expression > DifferentialEquations::solveSeparableODE ( std::shared_ptr< Expression >  expr )

static

Definition at line 372 of file differential_equations.cpp.

systemRungeKutta4()

std::vector< std::vector< double > > DifferentialEquations::systemRungeKutta4 ( std::vector< std::function< double(double, const std::vector< double > &)>  , f  , double  x0, const std::vector< double > &  y0, double  h, int  steps  )

static

Definition at line 102 of file differential_equations.cpp.

waveEquation1D()

std::vector< std::vector< double > > DifferentialEquations::waveEquation1D ( double  c, double  L, double  T, int  nx, int  nt, std::function< double(double)>  initialPosition, std::function< double(double)>  initialVelocity  )

static

Definition at line 263 of file differential_equations.cpp.

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The documentation for this class was generated from the following files:

• source/include/differential_equations.h
• source/differential_equations.cpp