Solving Ordinary Differential Equations (ODEs) by using Partitioning Block Intervalwise (PBI) technique is our aim in this paper. The PBI technique is based on Block Adams Method and Backward Differentiation Formula (BDF). Block Adams Method only use the simple iteration for solving while BDF requires Newtonlike iteration involving Jacobian matrix of ODEs which consumes a considerable amount of...

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Most of drivers have to compensate small directional deviations from the desired driving path when disturbances such as crosswinds, overtakings, road irregularities and unintended driver inputs  are imposed. These types of deviations have a tiring effect on driver and traffic’s safety and should be minimised. To increase the understanding the influence of vehicle’s properties in crosswind and o...

We consider the problem of inferring a tree with positive weight edges on a set X from a dissimilarity measure on X. This problem arises in classiication and more precisely in evolutionary biology, where we try to estimate the evolutionary tree, or phylogeny, of a set of species. Several studies recently put the emphasis on inferring trees containing reliable edges 6, 16]. A method rst proposed...

Given a complex m n matrix A; we index its singular values as 1 (A) 2 (A) ::: and call the value E (A) = 1 (A)+ 2 (A)+ ::: the energy of A; thereby extending the concept of graph energy, introduced by Gutman. Koolen and Moulton proved that E (G) (n=2) (1 + p n) for any graph G of order n and exhibited an in…nite family of graphs with E (G) = (v (G) =2) 1 + p v (G) . We prove that for all su¢ ci...

So far, many methods have been presented to solve the rst-order di erential equations. But, not many studies have been conducted for numerical solution of high-order fuzzy di erential equations. In this research, First, the equation by reducing time, we transform the rst-order equation. Then we have applied Adams-Bashforth multi-step methods for the initial approximation of one order di erentia...