scholarly journals New Iterative Method Based Jacobian Matrix and λ<sub>opt</sub> to Solve Power Flow Equation for Islanded MGs

2021 ◽  
Vol 6 (4) ◽  
pp. 65
Author(s):  
Ali Ghorbani Dehaghani ◽  
Rohallah Pourbagher ◽  
Heidar Mozafari Vanani
Keyword(s):  
Iterative Method ◽  
Power Flow ◽  
Jacobian Matrix ◽  
Flow Equation ◽  
New Iterative Method

scholarly journals Aboodh Transform Iterative Method for Spatial Diffusion of a Biological Population with Fractional-Order

Mathematics ◽  
2021 ◽  
Vol 9 (2) ◽  
pp. 155
Author(s):  
Gbenga O. Ojo ◽  
Nazim I. Mahmudov
Keyword(s):  
Iterative Method ◽  
Fractional Order ◽  
Population Model ◽  
Numerical Solutions ◽  
Computational Effort ◽  
Spatial Diffusion ◽  
Transform Method ◽  
Biological Population ◽  
The Laplace Transform ◽  
New Iterative Method

In this paper, a new approximate analytical method is proposed for solving the fractional biological population model, the fractional derivative is described in the Caputo sense. This method is based upon the Aboodh transform method and the new iterative method, the Aboodh transform is a modification of the Laplace transform. Illustrative cases are considered and the comparison between exact solutions and numerical solutions are considered for different values of alpha. Furthermore, the surface plots are provided in order to understand the effect of the fractional order. The advantage of this method is that it is efficient, precise, and easy to implement with less computational effort.

scholarly journals New Iterative Method for Fractional Gas Dynamics and Coupled Burger’s Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Mohamed S. Al-luhaibi
Keyword(s):  
Iterative Method ◽  
Analytical Solutions ◽  
Gas Dynamics ◽  
Time Derivative ◽  
Explicit Solutions ◽  
Fractional Partial Differential Equations ◽  
Approximate Analytical Solutions ◽  
Fractional Time Derivative ◽  
Burger's Equations ◽  
New Iterative Method

This paper presents the approximate analytical solutions to solve the nonlinear gas dynamics and coupled Burger’s equations with fractional time derivative. By using initial values, the explicit solutions of the equations are solved by using a reliable algorithm. Numerical results show that the new iterative method is easy to implement and accurate when applied to time-fractional partial differential equations.

Calculation of the bandwidth of W-type photonic crystal fibers by time-dependent power flow equation

2018 ◽  
Vol 427 ◽  
pp. 348-353
Author(s):  
Milan S. Kovačević ◽  
Ljubica Kuzmanović ◽  
Ana Simović ◽  
Svetislav Savović ◽  
Branko Drljača ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Power Flow ◽  
Photonic Crystal Fibers ◽  
Flow Equation ◽  
Time Dependent ◽  
Crystal Fibers
Sign in / Sign up

Export Citation Format

Share Document