Fractional Chebyshev deep neural network (FCDNN) for solving differential models
Z Hajimohammadi, F Baharifard, A Ghodsi… - Chaos, Solitons & …, 2021 - Elsevier
Differential and integral equations have been used vastly in modeling engineering and
science problems. Solving these equations has been always an active and important area of …
science problems. Solving these equations has been always an active and important area of …
On the fractal variational principle for the Telegraph equation
JH He - Fractals, 2021 - World Scientific
This paper gives a short remark on variational principle for the fractal Telegraph equation
[KL Wang, SW Yao, YP Liu et al., Fractals 28 (4)(2020) 2050058], the emphasis is put on …
[KL Wang, SW Yao, YP Liu et al., Fractals 28 (4)(2020) 2050058], the emphasis is put on …
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 …
numerical solution of the time-fractional nonlinear mixed diffusion and diffusion-wave …
A robust iterative approach for space-time fractional multidimensional telegraph equation
Akshey, TR Singh - International Journal of Applied and Computational …, 2023 - Springer
The aim of the study is to analyze space-time fractional multidimensional telegraph equation
using a generalized transform method. Fractional derivative are considered in Liouville …
using a generalized transform method. Fractional derivative are considered in Liouville …
A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg–Landau equation
In this paper, the cubic–quintic complex Ginzburg–Landau (CQCGL) equation is numerically
studied in 1D, 2D and 3D spaces. First, by the Strang splitting technique, the CQCGL …
studied in 1D, 2D and 3D spaces. First, by the Strang splitting technique, the CQCGL …
An efficient meshless method based on the moving Kriging interpolation for two‐dimensional variable‐order time fractional mobile/immobile advection‐diffusion model
A Habibirad, E Hesameddini… - … Methods in the …, 2021 - Wiley Online Library
In this work, we introduce an efficient meshless technique for solving the two‐dimensional
variable‐order time‐fractional mobile/immobile advection‐diffusion model with Dirichlet …
variable‐order time‐fractional mobile/immobile advection‐diffusion model with Dirichlet …
Numerical solution of time fractional tricomi-type equation by an rbf based meshless method
A Bhardwaj, A Kumar - Engineering Analysis with Boundary Elements, 2020 - Elsevier
In the present manuscript, we present an RBF based meshless method to investigate the
time-fractional Tricomi-type equation, which has been arising in transonic flow. The …
time-fractional Tricomi-type equation, which has been arising in transonic flow. The …
A convergent exponential B-spline collocation method for a time-fractional telegraph equation
This work aims to develop and analyze a numerical method for solving a time-fractional
telegraph equation of Caputo type. The method is constructed using a finite difference …
telegraph equation of Caputo type. The method is constructed using a finite difference …
High-order rotated grid point iterative method for solving 2D time fractional telegraph equation and its convergence analysis
In this paper, the compact finite difference (CFD) and rotated four-point compact explicit
decoupled group (CEDG) methods are proposed to solve the two-dimensional time …
decoupled group (CEDG) methods are proposed to solve the two-dimensional time …
The fourth-order time-discrete scheme and split-step direct meshless finite volume method for solving cubic–quintic complex Ginzburg–Landau equations on …
M Abbaszadeh, M Dehghan - Engineering with Computers, 2022 - Springer
Our motivation in this contribution is to propose a new numerical algorithm for solving cubic–
quintic complex Ginzburg-Landau (CQCGL) equations. The developed technique is based …
quintic complex Ginzburg-Landau (CQCGL) equations. The developed technique is based …