A Kind of Efficient Universal Differential Methods for Fractional Telegraph Equations

Subject. This article discusses the issues of development of the Krasnaya Polyana resort area. Objectives. The article aims to assess the competitive ability and attractiveness of this resort area through developing indicators. Methods. For the study, we used a comparative analysis, and factor and ranking score techniques. Results. The article offers original methods to assess the competitiveness of the ski resort area and describes possible directions to increase and improve the competitiveness and attractiveness of ski resorts. Conclusions. Comprehensive development indicators help assess the competitive ability of the ski resort area. Modified expert, sociological, rating, and differential methods contribute to the effective management of the resort area's advantages.

Download Full-text

Fibonacci wavelet method for solving time-fractional telegraph equations with Dirichlet boundary conditions

Results in Physics ◽

10.1016/j.rinp.2021.104123 ◽

2021 ◽

pp. 104123

Author(s):

Firdous A. Shah ◽

Mohd Irfan ◽

Kottakkaran S. Nisar ◽

R.T. Matoog ◽

Emad E. Mahmoud

Keyword(s):

Boundary Conditions ◽

Dirichlet Boundary ◽

Dirichlet Boundary Conditions ◽

Wavelet Method ◽

Telegraph Equations

Download Full-text

Numerical study of multi-dimensional hyperbolic telegraph equations arising in nuclear material science via an efficient local meshless method

International Journal of Nonlinear Sciences and Numerical Simulation ◽

10.1515/ijnsns-2020-0166 ◽

2021 ◽

Vol 0 (0) ◽

Author(s):

Imtiaz Ahmad ◽

Aly R. Seadawy ◽

Hijaz Ahmad ◽

Phatiphat Thounthong ◽

Fuzhang Wang

Keyword(s):

Meshless Method ◽

Material Science ◽

Numerical Study ◽

Research Work ◽

Time Integration ◽

Three Dimensional ◽

Nuclear Material ◽

Telegraph Equations ◽

Model Equations ◽

Derivatives Of

Abstract This research work is to study the numerical solution of three-dimensional second-order hyperbolic telegraph equations using an efficient local meshless method based on radial basis function (RBF). The model equations are used in nuclear material science and in the modeling of vibrations of structures. The explicit time integration technique is utilized to semi-discretize the model in the time direction whereas the space derivatives of the model are discretized by the proposed local meshless procedure based on multiquadric RBF. Numerical experiments are performed with the proposed numerical scheme for rectangular and non-rectangular computational domains. The proposed method solutions are converging quickly in comparison with the different existing numerical methods in the recent literature.

Download Full-text

Research on Very Fast Transient over-Voltages Distribution in Large Power Transformer Windings

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.433-440.7287 ◽

2012 ◽

Vol 433-440 ◽

pp. 7287-7292

Author(s):

You Hua Gao ◽

Zeng Feng Lai ◽

Xiao Ming Liu ◽

Guo Wei Liu ◽

Ye Wang

Keyword(s):

Power Transformer ◽

Simulation Software ◽

Large Power ◽

Telegraph Equations ◽

Backward Differentiation Formulas ◽

Space Discretization ◽

Simulation Results ◽

Fast Transient ◽

The Time Domain ◽

Differentiation Formulas

To analyze the transient response of transformer windings under very fast transient over-voltage (VFTO), multi-conductor transmission line (MTL) model based on the representation of transformer windings by its individual turns are established. Space discretization is needed for solving the time-domain telegraph equations of MTL. To calculate the voltage distributions along transformer windings, through combining the compact finite difference (CFD) theory and the backward differentiation formulas (BDF). Simulation software ATP is introduced, and the simulation results demonstrate that the proposed approach is feasible.

Download Full-text