A family of block methods for special second order initial value problems [I.V.Ps].

Abstract

In this paper, efforts are directed towards generating a 2-block 2-point numerical method for solving the special second order initial value problems of the form Y\'\' = F(X, Y), Y(0) = Y_O, Y\'(0) = Y_OO .. The scheme so developed, is in the same line of thought as Shampine and Watts (1969, 1972) [9]; Chu and Hamltion (1987) [2]; Fatunla (1991)[3]. The scheme is of orders 5/6, zero-stable and convergent. It is thus possible, with this scheme, to assign computational tasks at 2 points within the block to two different processors working simultaneously.

Journal of the Nigerian Association of Mathematical Physics Vol. 10 2006: pp. 379-384