A High-Order Iterate Method for ComputingAT,S(2)

A High Order Finite Dierence Method for Random Parabolic Partial Dierential Equations

In this paper, for the numerical approximation of random partial differential equations (RPDEs) of parabolic type, an explicit higher order finite difference scheme is constructed. In continuation the main properties of deterministic difference schemes, i.e. consistency, stability and convergency are developed for the random cases. It is shown that the proposed random difference scheme has thes...

ITERATE: A Conceptual Clustering Method for Knowledge Discovery in Databases

As the eld of Arti cial Intelligence (AI) matures, researchers are turning more and more to real world applications. With the widespread use of computers, it is estimated that the amount of information collected in the world doubles every 20 months. A substantial amount of this data comes from studying the operations of complex engineering systems (e.g., manufacturing lines, nuclear plants), ge...

A method for solving first order fuzzy differential equation

A SIXTH ORDER METHOD FOR SOLVING NONLINEAR EQUATIONS

In this paper, we present a new iterative method with order of convergence eighth for solving nonlinear equations. Periteration this method requires three evaluations of the function and one evaluation of its first derivative. A general error analysis providing the eighth order of convergence is given. Several numerical examples are given to illustrate the efficiency and performance of the new ...

High-accuracy alternating segment explicit-implicit method for the fourth-order heat equation

Based on a group of new Saul’yev type asymmetric difference schemes constructed by author, a high-order, unconditionally stable and parallel alternating segment explicit-implicit method for the numerical solution of the fourth-order heat equation is derived in this paper. The truncation error is fourth-order in space, which is much more accurate than the known alternating segment explicit-impli...