Package io.github.andreipunko.math.pde.solver

Class HyperbolicEquationSolver

java.lang.Object

io.github.andreipunko.math.pde.solver.AbstractEquationSolver<HyperbolicEquation>

io.github.andreipunko.math.pde.solver.HyperbolicEquationSolver

All Implemented Interfaces:

EquationSolver<HyperbolicEquation>

public class HyperbolicEquationSolver
extends AbstractEquationSolver<HyperbolicEquation>

Solver for hyperbolic partial differential equations. Implements numerical method for solving hyperbolic equations using an implicit finite difference scheme. The algorithm is based on the three-layer scheme with weights for time discretization.

See Also:

• HyperbolicEquation
• AbstractEquationSolver

Nested Class Summary

Nested classes/interfaces inherited from class io.github.andreipunko.math.pde.solver.AbstractEquationSolver

AbstractEquationSolver.KappaNu

Constructor Summary

Constructors

Constructor	Description
HyperbolicEquationSolver()	Creates a solver for hyperbolic equations using the implicit three-layer scheme.

Method Summary

Modifier and Type	Method	Description
Solution<HyperbolicEquation>	solve(HyperbolicEquation eqn, double h, double tau)	Solves hyperbolic partial differential equation using numerical method.

Methods inherited from class io.github.andreipunko.math.pde.solver.AbstractEquationSolver

buildArea, calcKappaNu, prepare, solve3DiagonalEquationsSystem

Methods inherited from class java.lang.Object

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

Constructor Details

HyperbolicEquationSolver

public HyperbolicEquationSolver()

Creates a solver for hyperbolic equations using the implicit three-layer scheme.

Method Details

solve

public Solution<HyperbolicEquation> solve(HyperbolicEquation eqn,
 double h,
 double tau)

Solves hyperbolic partial differential equation using numerical method. The solution is found using a three-layer implicit finite difference scheme. The algorithm consists of two main steps:

1. Calculation of the first time layer using initial conditions and their derivatives
2. Solution of the three-layer implicit scheme for subsequent time layers

Parameters:

eqn - hyperbolic partial differential equation to solve

h - spatial step size (must be positive)

tau - temporal step size (must be positive)

Returns:

Solution with function values on the grid in Solution.matrix()

Throws:

IllegalArgumentException - if parameters h or tau are invalid, or if a time-step tridiagonal system is degenerate (see AbstractEquationSolver.solve3DiagonalEquationsSystem(double[], double[], double[], double[], io.github.andreipunko.math.pde.solver.AbstractEquationSolver.KappaNu, io.github.andreipunko.math.pde.solver.AbstractEquationSolver.KappaNu))