The paper must have abstract. In this paper, we present an approximate analytical algorithm to solve non-linear quadratic Riccati differential equations of fractional order based on the optimal homotopy asymptotic method (OHAM). OHAM has the benefit of adjusting the convergence rate and the region of the solution series via several auxiliary parameters over the homotopy analysis method (HAM) th...

Hedonic regression is a method used to determine the value of a good or service by breaking it down into its component parts. The value of each component is then determined separately through regression analysis. See Lancaster K [1], Griliches Z [2,3] and Diewert [4-6] for detail discussions on the development and application of hedonic prices. In addition, Moulton [7] provides a information on...

In this paper, we propose new variants of the two-step Adams-Bashforth and the one-step Adams-Moulton methods for the numerical integration of ordinary differential equations (ODEs). The methods are constructed geometrically from an exponentially fitted osculating parabola. The accuracy and stability of the proposed variants is discussed and their applicability to some initial value problems is...

A method ofmeasuring femoral neck anteversion using a static B scanner has been described (Moulton and Upadhyay 1982). This study used dried femora in a waterbath and the results obtained were confirmed by direct measurement. Although the experimental scans were performed under direct vision it was assumed that the method would be accurate in vivo where similar images can only be obtained using...

Transient stability-constrained optimal power flow (TSCOPF) models comprehensively analyze the security and economic operation of systems. However, they require a high computational effort can suffer from convergence problems when applied to large This study analyzes performance eleven numerical integration algorithms ordinary differential equations that represent system dynamics in TSCOPF mode...

Mihir Pant, 2, ∗ Hari Krovi, Don Towsley, Leandros Tassiulas, Liang Jiang, Prithwish Basu, Dirk Englund, and Saikat Guha Department of Electrical Engineering and Computer Science, MIT, Cambridge, MA Quantum Information Processing group, Raytheon BBN Technologies, 10 Moulton Street, Cambridge, MA College of Information and Computer Sciences, University of Massachusetts, Amherst, MA School of Eng...

The three-point fully implicit block methods are developed for solving large systems of ordinary differential equations using variable step size on a parallel shared memory computer. The methods calculate the numerical solution at three points simultaneously and are suitable for parallelization across the method. The methods are in a simple form as Adams Moulton method with the specific aim of ...