Curve fitting | Numerical differential equations

Collocation method

In mathematics, a collocation method is a method for the numerical solution of ordinary differential equations, partial differential equations and integral equations. The idea is to choose a finite-dimensional space of candidate solutions (usually polynomials up to a certain degree) and a number of points in the domain (called collocation points), and to select that solution which satisfies the given equation at the collocation points. (Wikipedia).

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From playlist MIT 10.34 Numerical Methods Applied to Chemical Engineering, Fall 2015

Related pages

Legendre polynomials | Runge–Kutta methods | Polynomial | Integral equation | Trapezoidal rule | Numerical analysis | Trapezoidal rule (differential equations) | Ordinary differential equation | Orthogonal polynomials | Gauss–Legendre quadrature | Partial differential equation | Gauss–Legendre method