An Efficient Seven-point Hybrid Block Method for the Direct Solution of y''=f(x,y,y')
Journal of Advances in Mathematics and Computer Science · pp. 2840–2852 · Published 24 Jul 2014
10.9734/BJMCS/2014/6749Abstract
A Self starting Stomer Cowell Hybrid Block Method of uniform Order 8 for Direct solution of General Second Order Initial Value Problems of Ordinary Differential Equations is presented in this paper. The method produces simultaneous approximation of the solution in a Block of Seven points at x=x(n+j) j=1,2,3,4,13/3,9/2 and 14/3 at once. The Block Analysis of this method shows that it is Zero stable and convergent. Numerical experiments show there superiority over the existing method.
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