The following lemma  provides sufficient condition for the finite convergence control
where [c.sub.1], [c.sub.2], [c.sub.3], ..., [c.sub.m] are convergence control parameters.
(i) It has been observed that the convergence of the series (8) and (9) depends upon the convergence control parameters.
(f) Determine the convergence control parameters, [c.sub.1], [c.sub.2], [c.sub.3], ..., by using one of the methods given in [8-11].
where p [member of] [0,1] is the embedding parameter, h [not equal to] 0 is the convergence control parameter, [u.sub.0] denotes the initial approximation of solution of problem (1.1) and L is the auxiliary linear operator with property L(0) = 0.
Setting appropriately the value of the convergence control parameter h we can affect the area of convergence of series (1.3) as well as the convergence rate [17,19,23].
Let us assume Pr = Le = Gr = 1.0, c = 0.5, = [N.sub.t] = [N.sub.r] = 0.1, and the convergence control parameters are unknown.
The procedure to obtain global convergence control parameters is defined in detail.
The optimal values of the convergence control constants [C.sub.1] and [C.sub.2] can be obtained using collocation method from 30).
The optimal values of the convergence control constants [C.sub.1], [C.sub.2], [C.sub.3], and [C.sub.4] can be obtained using collocation method from (30).
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It features DriftFree Digital Convergence controls
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