Choosing the Optimal Multi-Point Iterative Method for the Colebrook Flow Friction Equation

Solution of the Implicit Colebrook Equation for Flow Friction Using Excel

Empirical Colebrook equation implicit in unknown flow friction factor (λ) is an accepted standard for calculation of hydraulic resistance in hydraulically smooth and rough pipes. The Colebrook equation gives friction factor (λ) implicitly as a function of the Reynolds number (Re) and relative roughness (ε/D) of inner pipe surface; i.e. λ0=f(λ0, Re, ε/D). The paper presents a problem that requir...

The spectral iterative method for Solving Fractional-Order Logistic ‎Equation

In this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. This approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. The method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numer...

the spectral iterative method for solving fractional-order logistic ‎equation

in this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. this approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. the method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numer...

Choosing the best method for targeting of subsidies using fuzzy multi-criteria decision

The subsidy is one of the most important economic tools and the government’s supportive policies for the protection of low-income groups. The inefficiency of the subsidy distribution puts a heavy cost burden on the government and also create injustice. Subsidies are aimed to achieve social justice, welfare, and fair income distribution. Therefore, the necessity of paying subsidies and support f...

The use of iterative methods for solving Black-Scholes equation