Differential Equations

Functions

First Order Ordinary Differential Equations

Solution of the Initial-Value Problem for ODEs

Runge-Kutta method odeRungeKutta

Solution of the Initial-Value Problem for ODEs

Finite-difference method bvpFiniteDifference

Solution of Differential–Algebraic Systems

Solves a first order differential-algebraic system of equations differentialAlgebraicEqs

First-and-Second-Order Ordinary Differential Equations

Solution of the Initial-Value Problem for ODEs

Solves an initial-value problem for a system of ODEs using a variable order Adams method odeAdamsKrogh

Partial Differential Equations

Solution of Systems of PDEs in One Dimension

Method of lines with a Variable Gridding

Introduction to pde1dMg

Solves a system of one-dimensional time-dependent partial differential equations using a moving-grid interface pde1dMg

Method of lines with a Hermite cubic basis modifiedMethodOfLines

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

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

Solution of a PDE in Two Dimensions

Fast Poisson solver fastPoisson2d