P-stable high-order super-implicit and Obrechkoff methods for periodic initial value problems
نویسنده
چکیده
This paper discusses the numerical solution of periodic initial value problems. Two classes of methods are discussed, superimplicit and Obrechkoff. The advantage of Obrechkoff methods is that they are high-order one-step methods and thus will not require additional starting values. On the other hand they will require higher derivatives of the right-hand side. In cases when the right-hand side is very complex, we may prefer super-implicit methods. We develop a super-implicit P-stable method of order 12 and Obrechkoff method of order 18. Published by Elsevier Ltd
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عنوان ژورنال:
- Computers & Mathematics with Applications
دوره 54 شماره
صفحات -
تاریخ انتشار 2007