NEW CONSTRUCTION OF HIGHER-ORDER LOCAL CONTINUOUS PLATFORMS FOR ERROR CORRECTION METHODS
- Authors
- 부선영
- Issue Date
- 1-May-2016
- Publisher
- WILMINGTON SCIENTIFIC PUBLISHER
- Citation
- JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, v.6, no.2, pp.443 - 462
- Journal Title
- JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
- Volume
- 6
- Number
- 2
- Start Page
- 443
- End Page
- 462
- URI
- https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/7867
- ISSN
- 2156-907X
- Abstract
- Error correction method (ECM) [6,1 which has been recently developed, is based on the construction of a local approximation to the solution on each time step, and has the excellent convergence order 0(h(2p+2)), provided the local approximation has a local residual error 0(h(p)). In this paper, we construct a higher-order continuous local platform to develop higher-order semi-explicit one-step ECM for solving initial value time dependent differential equations. It is shown that special choices of parameters for the local platform can lead to the improvement of the well-known explicit fourth and fifth order Runge-Kutta methods. Numerical experiments demonstrate the theoretical results.
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Collections - College of Science and Technology > Department of Computer and Information Communications Engineering > 1. Journal Articles
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