Abstract
The Enright’s second derivative formula which is \(A\)-stable up to order four is derived using the multistep collocation method. The continuous schemes obtained are used to generate complementary methods together with the proposed method to solve standard problems via the boundary value techniques such that the numerical solution of a problem is obtained on the domain of integration simultaneously. Implementation on linear and non-linear stiff systems shows that the new algorithm is efficient and error is minimal compared to step-by-step techniques.
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