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Differential equations - practical methods of numerical solution

Published online by Cambridge University Press:  01 August 2016

R. V. W. Murphy
R. V. W. Murphy*
Affiliation:
4, Heritage Way, Thornton Cleveleys, Lancashire FY5 3BD
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Extract

The most basic problem with differential equations is that of being given an equation that can be put into the form

and one pair of solution values x = x0, y = y0, from which to find either an algebraic form of its solution or the numerical value of y corresponding to a particular value of x. This can most conveniently be interpreted as finding, out of the infinity of solution curves to (1.1), an equation for the unique curve that passes through the point (x0, y0) or calculating the coordinates of one particular point on that curve.

Type
Articles
Information
The Mathematical Gazette , Volume 91 , Issue 521 , July 2007 , pp. 227 - 234
Copyright
Copyright © The Mathematical Association 2007

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References

1. Ralston, A. and Rabinowitz, P., A first course in numerical analysis, (2nd edn.), McGraw-Hill (1978).Google Scholar
2. Richardson, L. F. and Gaunt, J. A., The deferred approach to the limit, Trans. R. Soc. 226A (1927) pp. 299–361.Google Scholar