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Inverse linear multistep methods for the numerical solution of initial value problems of second order differential equations

✍ Scribed by U.Anantha Krishnaiah

Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
269 KB
Volume
7
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper inverse linear multistep methods for the numerical solution of second order differential equations are presented. Local accuracy and stability of the methods are defined and discussed. The methods are applicable to a class of special second order initial value problems, not explicitly involving the first derivative. The methods are not convergent, but yield good numerical results if applied to problems they are designed for. Numerical results are presented for both the linear and nonlinear initial value problems.

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