Package by.andd3dfx.math.pde.solver

Class HyperbolicEquationSolver

java.lang.Object

by.andd3dfx.math.pde.solver.AbstractEquationSolver<HyperbolicEquation>

by.andd3dfx.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 by.andd3dfx.math.pde.solver.AbstractEquationSolver

AbstractEquationSolver.KappaNu

Constructor Summary

Constructors

Constructor	Description
HyperbolicEquationSolver()

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 by.andd3dfx.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()

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 containing function values at all grid points

Throws:

IllegalArgumentException - if parameters h or tau are non-positive