An overview of the background of Taylor series methods and the utilization of the differential algebraic structure is given, and various associated techniques are reviewed. The conventional Taylor methods are extended to allow for a rigorous treatment of bounds for the remainder of the expansion in a similarly universal way. Utilizing differential algebraic and functional analytic arguments on ...

In this research, a numerical algorithm is employed to investigate the classical Blasius equation which is the governing equation of boundary layer problem. The base of this algorithm is on the development of RCW (Rahmanzadeh-Cai-White) method. In fact, in the current work, an attempt is made to solve the Blasius equation by using the sum of Taylor and Fourier series. While, in the most common ...

the ultimate goal of monetary policy is to achieve price stability and high output. in this regard, central banks usually change the interest rate, liquidity, and money base in order to apply monetary policies. the john b. taylor rule is one of the rules known in the transmission of monetary policy.[1] based on this rule and given the output gap and inflation gap, the central bank increases or ...

in this paper, we will compare a homotopy perturbation algorithm and taylor series expansin method for a system of second kind fredholm integral equations. an application of he’s homotopy perturbation method is applied to solve the system of fredholm integral equations. taylor series expansin method reduce the system of integral equations to a linear system of ordinary differential equation.

This paper examines social and technical factors that influence the acceptance of E-government technologies by public organizations. In regards to public organizations, IT acceptance is defined as “the belief that the organization will integrate a specific IT innovation into its service production processes and the potential for the organization to routinely rely on the innovation in order to a...

Rigorous estimation of maximum floating-point round-off errors is an important capability central to many formal verification tools. Unfortunately, available techniques for this task often provide overestimates. Also, there are no available rigorous approaches that handle transcendental functions. We have developed a new approach called Symbolic Taylor Expansions that avoids this difficulty, an...

the present study investigates the antioxidant potential of the ethyl acetate fraction of the aerial parts eclipta alba l. hassk (eaea) which was widely used as hepatoprotective plant. eaea was orally administered at doses of 50, 100 and 200 mg/kg for 7 days in male charles foster rats. the extent of hepatoprotective potential of e . alba was studied by assessing the biochemical parameters like...