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Initial Value Problems for Ordinary Differential Equations

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Numerical Quadrature and Solution of Ordinary Differential Equations

Part of the book series: Applied Mathematical Sciences ((AMS,volume 10))

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Abstract

In this chapter we discuss methods for the numerical solution of a first order ordinary differential equation

$$ y' = f\left( {x,y} \right) $$
((1))

Here f(x,y) is a given function of two variables and we seek a function y ≡ y(x), for x in a given interval [a,b], which satisfies

$$ \frac{{dy}}{{dx}} = f\left( {x,y(x)} \right) $$

The function y(x) is called a solution of the differential equation (1).

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Authors and Affiliations

  1. Department of Mathematics, Texas A & M University, USA

    A. H. Stroud

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  1. A. H. Stroud
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© 1974 Springer-Verlag New York Inc.

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Stroud, A.H. (1974). Initial Value Problems for Ordinary Differential Equations. In: Numerical Quadrature and Solution of Ordinary Differential Equations. Applied Mathematical Sciences, vol 10. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6390-6_4

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  • DOI: https://doi.org/10.1007/978-1-4612-6390-6_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-90100-8

  • Online ISBN: 978-1-4612-6390-6

  • eBook Packages: Springer Book Archive

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