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 …

On the approximation of time-fractional telegraph equations using localized kernel-based method

Kamran, M Uddin, A Ali - Advances in Difference Equations, 2018 - Springer
In the present work, a hybrid transform-based localized meshless method is constructed for
the solution of time-fractional telegraph equations. In the first step the Laplace transform is …

Local integration of 2-D fractional telegraph equation via moving least squares approximation

E Shivanian, S Abbasbandy, MS Alhuthali… - … Analysis with Boundary …, 2015 - Elsevier
In this paper, a classical type of two-dimensional time-fractional telegraph equation defined
by Caputo sense for (1< α< 2) is analyzed by an approach based on the Galerkin weak form …

Fully discrete local discontinuous Galerkin method for solving the fractional telegraph equation

L Wei, H Dai, D Zhang, Z Si - Calcolo, 2014 - Springer
This paper aims to develop a fully discrete local discontinuous Galerkin finite element
method for numerical simulation of the time-fractional telegraph equation, where the …

A meshless method for time fractional nonlinear mixed diffusion and diffusion-wave equation

A Bhardwaj, A Kumar - Applied Numerical Mathematics, 2021 - Elsevier
The paper aims to put forth a radial basis function-based meshless approach for the
numerical solution of the time-fractional nonlinear mixed diffusion and diffusion-wave …

A numerical solution of time-fractional mixed diffusion and diffusion-wave equation by an RBF-based meshless method

A Bhardwaj, A Kumar - Engineering with Computers, 2022 - Springer
In this paper, we have developed an radial basis function (RBF) based meshless method to
solve the time-fractional mixed diffusion and diffusion-wave equation which involves two …

[HTML][HTML] A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives

Y Gu, HG Sun - Applied Mathematical Modelling, 2020 - Elsevier
In this study a new framework for solving three-dimensional (3D) time fractional diffusion
equation with variable-order derivatives is presented. Firstly, a θ-weighted finite difference …

The meshless method of radial basis functions for the numerical solution of time fractional telegraph equation

A Mohebbi, M Abbaszadeh, M Dehghan - International Journal of …, 2014 - emerald.com
Purpose–The purpose of this paper is to show that the meshless method based on radial
basis functions (RBFs) collocation method is powerful, suitable and simple for solving one …

[HTML][HTML] A meshless method for solving the time fractional advection–diffusion equation with variable coefficients

A Mardani, MR Hooshmandasl, MH Heydari… - … & mathematics with …, 2018 - Elsevier
In this paper, an efficient and accurate meshless method is proposed for solving the time
fractional advection–diffusion equation with variable coefficients which is based on the …

Meshless analysis of fractional diffusion-wave equations by generalized finite difference method

L Qing, X Li - Applied Mathematics Letters, 2024 - Elsevier
In this paper, a meshless generalized finite difference method (GFDM) is proposed to solve
the time fractional diffusion-wave (TFDW) equations. A second-order temporal discretization …