Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52614#.VJy8DcCAM4 Author(s) Shafiq Ur Rehman 1,2 Affiliation(s) 1 Department of Mathematics, The University of Auckland, Auckland, New Zealand . 2 Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan . ABSTRACT The continuous approximations play a vital role in N -body simulations. We constructed three different types, namely, one-step (cubic and quintic Hermite), two-step, and three-step Hermite interpolation schemes. The continuous approximations obtained by Hermite interpolation schemes and interpolants for ODEX2 and ERKN integrators are discussed in this paper. The primary focus of this paper i...
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