LXII. Technique, of the step-by-step integration of ordinary differential equations
- 29 July 1948
- journal article
- research article
- Published by Taylor & Francis in Journal of Computers in Education
- Vol. 39 (294) , 493-509
- https://doi.org/10.1080/14786444808521663
Abstract
In Part I, step-by-step methods are examined critically and emphasis is placed on the dependence of the error on the number n of steps used for a given range of the independent variable. The index of a process is denned and it is shown that the errors can be assessed and partially corrected when the index is known and results obtained for two or more values of n. Attention is drawn to the advantages in certain cases of a part-analytical process.Keywords
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