Volume 4, Issue 2, April 2016, Page: 74-80
Implicit Exponentially Fitted RKNd Methods for Solving Oscillatory ODEs
Wenjuan Zhai, Department of Mathematics, Beijing Jiaotong University Haibin College, Cangzhou, P. R. China
Bingzhen Chen, Department of Applied Mathematics, Beijing Jiaotong University, Beijing, P. R. China
Received: Apr. 12, 2016;       Published: Apr. 13, 2016
DOI: 10.11648/j.sjams.20160402.19      View  2932      Downloads  88
Abstract
In this paper, we derive the implicit exponentially fitted RKNd methods for solving oscillatory ODEs. The new methods integrate exactly differential systems whose solutions can be expressed as linear combinations of functions from the set {exp(λt), exp(−λt)}, λ ∈ C, or equivalently when λ = iω, ω ∈ R. Numerical experiments are accompanied to show the efficiency and competence of the implicit exponentially fitted RKNd methods compared with implicit RKNd methods.
Keywords
RKNd Method, Exponentially Fitted, Implicit, Stability, Efficiency, Oscillatory
To cite this article
Wenjuan Zhai, Bingzhen Chen, Implicit Exponentially Fitted RKNd Methods for Solving Oscillatory ODEs, Science Journal of Applied Mathematics and Statistics. Vol. 4, No. 2, 2016, pp. 74-80. doi: 10.11648/j.sjams.20160402.19
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