On Adams' methods of maximal accuracy
β Scribed by A.D. Gorbunov
- Book ID
- 103430620
- Publisher
- Elsevier Science
- Year
- 1972
- Weight
- 432 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0041-5553
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π SIMILAR VOLUMES
Multivalue methods are a class of time-stepping procedures for numerical solution of differential equations that progress to a new time level using the approximate solution for the function of interest and its derivatives at a single time level. The methods differ from multistep procedures, which ma
In this paper, a new explicit numerical integration method is proposed. The proposed method is based on the relationship that m-step Adams-Moulton method is the linear convex combination of (m-1)-step Adams-Moulton and m-step Adams-Bashforth methods with a ΓΏxed weighting coe cient. By examining the
The generalized Adams-Bashforth-Moulton method, often simply called ''the fractional Adams method'', is a useful numerical algorithm for solving a fractional ordinary differential equation: D Ξ± \* y(t) = f (t, y(t)), y (k) (0) = y (k) 0 , k = 0, 1, . . . , n -1, where Ξ± > 0, n = Ξ± is the first integ