Differential Equations

DEA_PETZOLD_GEAR Procedure

Solves a first order differential-algebraic system of equations, g(t, y, y') = 0, using the Petzold-Gear BDF method.

FEYNMAN_KAC Function

Solves a generalized Feynman-Kac equation on a finite interval using Hermite quintic splines.

FEYNMAN_KAC_EVALUATE Function

Computes the value of a Hermite quintic spline or the value of one of its derivatives.

ODE Function

Adams-Gear or Runge-Kutta method.

ODEBV Function

Solves a general system of ordinary differential equations.

PDE_1D_MG Procedure

Solves a system of partial differential equations.

PDE_MOL Function

Solves a system of partial differential equations of the form ut = f(x, t, u, ux, uxx) using the method of lines.

The solution is represented with cubic Hermite polynomials.

POISSON2D Function

Solves Poisson's or Helmholtz's equation on a two-dimensional rectangle using a fast Poisson solver based on the HODIE finite-difference scheme on a uniform mesh.