Jabarkan Differential equations dari Analisis numeris dalam bahasa sunda

Main articles: Numerical ordinary differential equations, Numerical partial differential equations.

Numerical analysis is also concerned with computing (in an approximate way) the solution of differential equations, both ordinary differential equations and partial differential equations.

Partial differential equations are solved by first discretizing the equation, bringing it into a finite-dimensional subspace. This can be done by a finite element method, a finite difference method, or (particularly in engineering) a finite volume method. The théoretical justification of these methods often involves théorems from functional analysis. This reduces the problem to the solution of an algebraic equation.