Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport

O Nikan, Z Avazzadeh, JAT Machado - Communications in Nonlinear …, 2021 - Elsevier
This paper focusses on the numerical solution of the nonlinear time-fractional telegraph
equation formulated in the Caputo sense. This model is a useful description of the neutron …

Analytical and numerical solutions for the current and voltage model on an electrical transmission line with time and distance

MMA Khater, JF Alzaidi, RAM Attia, D Lu - Physica Scripta, 2020 - iopscience.iop.org
This research paper employs three different techniques on the fractional nonlinear space-
time telegraph equation to get the solitary traveling wave solutions, semi-analytical wave …

The interpolating element-free Galerkin (IEFG) method for three-dimensional potential problems

D Liu, YM Cheng - Engineering Analysis with Boundary Elements, 2019 - Elsevier
In this paper, an interpolating element-free Galerkin (IEFG) method for three-dimensional
potential problems is presented based on the improved interpolating moving least-squares …

Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag–Leffler non-singular kernel

M Hosseininia, MH Heydari - Chaos, Solitons & Fractals, 2019 - Elsevier
This paper investigates a novel version for the nonlinear 2D telegraph equation involving
variable-order (VO) time fractional derivatives in the Atangana–Baleanu–Caputo sense with …

A local meshless method to approximate the time-fractional telegraph equation

A Kumar, A Bhardwaj, S Dubey - Engineering with Computers, 2021 - Springer
In the present work, we investigate the numerical solution of time-fractional telegraph
equation by a local meshless method. The fractional-order derivative is defined in the …

Spectral meshless radial point interpolation (SMRPI) method to two‐dimensional fractional telegraph equation

E Shivanian - Mathematical Methods in the Applied Sciences, 2016 - Wiley Online Library
H. Ammari In this article, an innovative technique so‐called spectral meshless radial point
interpolation (SMRPI) method is proposed and, as a test problem, is applied to a classical …

Numerical solution of fractional telegraph differential equations by theta-method

M Modanli, A Akgül - The European Physical Journal Special Topics, 2017 - Springer
Difference schemes for theta method are constructed. Theta method is used to deal with
fractional telegraph differential equation defined by Caputo fractional derivative for different …

Solving fractional pantograph delay equations by an effective computational method

MS Hashemi, A Atangana, S Hajikhah - Mathematics and Computers in …, 2020 - Elsevier
In this work, we introduce a useful and efficient calculation method for solving linear
fractional pantograph delay equations (FPDEs). The proposed method is primarily …

Influence of size effect on flapwise vibration behavior of rotary microbeam and its analysis through spectral meshless radial point interpolation

E Shivanian, M Ghadiri, N Shafiei - Applied Physics A, 2017 - Springer
In this paper, by utilizing the modified couple stress theory, influence of size effect on
flapwise vibration behavior of rotary microbeam is analyzed based on Bernoulli–Euler beam …

A new fractional derivative for differential equation of fractional order under interval uncertainty

S Salahshour, A Ahmadian, F Ismail… - Advances in …, 2015 - journals.sagepub.com
In this article, we develop a new definition of fractional derivative under interval uncertainty.
This fractional derivative, which is called conformable fractional derivative, inherits some …