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by.andd3dfx.pde-solvers 1.0.1 Latest version

Install 1/2: Add this to pom.xml:
Learn more about Maven or Gradle
<dependency>
  <groupId>by.andd3dfx</groupId>
  <artifactId>pde-solvers</artifactId>
  <version>1.0.1</version>
</dependency>
Install 2/2: Run via command line
$ mvn install

About this package

A library for numerical solution of partial differential equations (PDE)

Solution of parabolic equations of the form:

L(x,t,U)*∂U/∂t = ∂U( K(x,t,U)*∂U/∂x )/∂x + V(x,t,U)*∂U/∂x + F(x,t,U)

where U = U(x,t) is the unknown function (temperature, concentration, etc.)

Solution of hyperbolic equations of the form:

M(x,t,U)*∂²U/∂t² = ∂U( K(x,t,U)*∂U/∂x )/∂x + V(x,t,U)*∂U/∂x + F(x,t,U)

where U = U(x,t) is the unknown function (displacement of string, etc.)

Support for various boundary conditions:

  • Dirichlet (function value at the boundary)
  • Neumann (derivative value at the boundary)
  • Robin (linear combination of function value and its derivative)

Efficient numerical methods:

  • Finite difference method for derivative approximation
  • Thomas algorithm for solving tridiagonal systems of linear equations

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Topics

partial-differential-equations heat-equation heat-transfer pde wave-equation

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