High Quality Content by WIKIPEDIA articles! Numerical ordinary differential equations is the part of numerical analysis which studies the numerical solution of ordinary differential equations. This field is also known under the name numerical integration, but some people reserve this term for the computation of integrals. Many differential equations cannot be solved analytically, in which case we have to satisfy ourselves with an approximation to the solution. The algorithms studied here can be used to compute such an approximation. An alternative method is to use techniques from calculus to obtain a series expansion of the solution.

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