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

Class ParabolicEquationSolver

java.lang.Object

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

io.github.andreipunko.math.pde.solver.ParabolicEquationSolver

All Implemented Interfaces:

EquationSolver<ParabolicEquation>

public class ParabolicEquationSolver
extends AbstractEquationSolver<ParabolicEquation>

Solver for parabolic partial differential equations. Implements numerical method for solving parabolic equations using implicit finite difference scheme. The algorithm is based on the Thomas algorithm for solving tridiagonal systems of linear equations.

See Also:

• ParabolicEquation
• AbstractEquationSolver

Nested Class Summary

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

AbstractEquationSolver.KappaNu

Constructor Summary

Constructors

Constructor	Description
ParabolicEquationSolver()	Creates a solver for parabolic equations using the implicit finite-difference scheme.

Method Summary

Modifier and Type	Method	Description
Solution<ParabolicEquation>	solve(ParabolicEquation eqn, double h, double tau)	Solves parabolic 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

ParabolicEquationSolver

public ParabolicEquationSolver()

Creates a solver for parabolic equations using the implicit finite-difference scheme.

Method Details

solve

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

Solves parabolic partial differential equation using numerical method. Uses implicit finite difference scheme with weights for derivative approximation. Solution is found using the Thomas algorithm on each time step.

Parameters:

eqn - parabolic partial differential equation to solve

h - spatial step size (must be positive)

tau - time 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))