Use Newton's Method with the initial approximation \(x_1=1\) to find \(x_2\) and \(x_3\text{,}\) the second and the third approximations to the root \(a\) of the equation \(x^6-x-1=0\text{.}\) You may ...

This paper deals with approximation methods for fractional operators. Fractional calculus is a new concept for engineers and we need tools to analyze and utilize the same. One way to do the same is to ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. As soon as an appropriate mathematical model is developed, it can ...

Methods: To solve this problem, we developed a novel approximation method that can be used calculate the drainage capacity of the pipe system. This method is named the road-drainage method, and it ...

5. The Approximation Method and the Treatment of Particles. The approximation method that we introduce below, is adapted to the treatment of particles; therefore, it is convenient to begin by treating ...

Approximation Methods for Linear Operator Equations and Nonlinear Integral Equations; Loaded Equations and Bifurcation Analysis; Applications in Electrical Engineering and Automation; Readership: This ...

A new approximation method to evaluate system reliability Abstract: This paper proposes a new high-speed method of approximating system reliability. This method is an improved version of truth table ...

Use Newton's Method with the initial approximation \(x_1=1\) to find \(x_2\) and \(x_3\text{,}\) the second and the third approximations to the root \(a\) of the equation \(x^6-x-1=0\text{.}\) You may ...