scalation

dynamics_pde

package dynamics_pde

The dynamics package contains classes, traits and objects for system dynamics simulations using Partial Differential Equations (PDEs).

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  1. class FirstOrderPDE extends Error

    The FirstOrderPDE class is used to solve first order partial differential equations like the Advection Equation.

    The FirstOrderPDE class is used to solve first order partial differential equations like the Advection Equation. Let 'u(x, t)' = concentration in a fluid with velocity 'v' at position '0 <= x <= xm' and time 't' > 0. Numerically solve the

    Advection Equation: u_t + v(x, t) * u_x = 0 with initial conditions u(x, 0) = ic(x) boundary conditions (u(0, t), u(xm, t)) = bc

  2. class ParabolicPDE extends Error

    The ParabolicPDE' class is used to solve parabolic partial differential equations like the Heat Equation. Let 'u(x, t)' = temperature of a rod at position '0 <= x <= xm' and time 't' > 0. Numerically solve the

    The ParabolicPDE' class is used to solve parabolic partial differential equations like the Heat Equation. Let 'u(x, t)' = temperature of a rod at position '0 <= x <= xm' and time 't' > 0. Numerically solve the

    Heat Equation: u_t = k * u_xx with initial conditions u(x, 0) = ic(x) boundary conditions (u(0, t), u(xm, t)) = bc

Value Members

  1. object FirstOrderPDETest extends App

    The FirstOrderPDETest object is used to test the FirstOrderPDE class.

    The FirstOrderPDETest object is used to test the FirstOrderPDE class. Numerically solve the Advection Equation: du/dt + v(x, t) * du/dx = 0

  2. object FirstOrderPDETest2 extends App

    The FirstOrderPDETest2 object is used to test the FirstOrderPDE class.

    The FirstOrderPDETest2 object is used to test the FirstOrderPDE class. Numerically solve the Advection Equation: du/dt + v(x, t) * du/dx = 0

  3. object FirstOrderPDETest3 extends App

    The FirstOrderPDETest3 object is used to test the FirstOrderPDE class.

    The FirstOrderPDETest3 object is used to test the FirstOrderPDE class. Numerically solve the Advection Equation: du/dt + v(x, t) * du/dx = 0

    See also

    www.public.asu.edu/~hhuang38/pde_slides_numerical.pdf

  4. object ParabolicPDETest extends App

    The ParabolicPDETest object is used to test the ParabolicPDE class.

    The ParabolicPDETest object is used to test the ParabolicPDE class. Numerically solve the Heat Equation: du/dt = k * d2u/dx2.

    See also

    personales.unican.es/gutierjm/cursos/cornell/9_PDEs.pdf

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