Numerical ordinary differential equations

Numerical ordinary differential equations is the part of

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numerical analysis which studies the numerical solution of

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ordinary differential equations (ODEs). This

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field is also known under the name numerical integration, but

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some people reserve this term for the computation of integrals.

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Many differential equations cannot be solved analytically, in which

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case we have to satisfy ourselves with an approximation to the

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solution. The algorithms studied here can be used to compute such

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an approximation. An alternative method is to use techniques from

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calculus to obtain a series expansion of the solution.

Related Topics:
Calculus - Series

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Ordinary differential equations occur in many scientific disciplines,

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for instance in mechanics, chemistry, ecology, and

Related Topics:
Mechanics - Chemistry - Ecology

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economics. In addition, some methods in

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numerical partial differential equations convert the

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partial differential equation into an ordinary differential

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equation, which must then be solved.

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