1. Multivalue-multistage Method for Second-order ODEs.
- Author
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Ismail, Ainathon and Rabiei, Faranak
- Subjects
- *
DIFFERENTIAL equations , *ALGORITHMS , *NUMERICAL analysis , *VECTOR analysis , *APPROXIMATION theory - Abstract
The aim of this paper is to generate the needed framework to develop order conditions for second-order Ordinary Differential Equations (ODEs) by class of multivalue-multistage Nystrom method. A general approach to study the order conditions of the methods for solving second-order initial value problems is investigated. Our investigation will be carried out by adapting the theory of Nystrom-series and using the sets of second order rooted trees for solving second-order ODEs which leads to a general set of order conditions. In this paper the method of order three using constant step-size algorithm is derived. The stability region of method is also proposed. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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