Construction of two-step block Simpson type method with large region of absolute stability

Abstract

In this note, we describe the construction of two-step Block Simpson type method with non-uniform order, in continuous approximation form, with large regions of absolute stability. All the discrete schemes used in the block method come from a single continuous formulation. When used in block form, the suggested approach is self- starting, accurate and efficient. Numerical result is included to further justify our present method. JONAMP Vol. 11 2007: pp. 261-268