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A novel RBF-based meshless method for solving time-fractional transport equations in 2D and 3D arbitrary domains
J Lin, J Bai, S Reutskiy, J Lu - Engineering with Computers, 2023 - Springer
In this paper, we develop a new meshless method for solving a wide class of time-fractional
partial differential equations with general space operators in 2D and 3D regular and …
partial differential equations with general space operators in 2D and 3D regular and …
On the convergence analysis, stability, and implementation of meshless local radial point interpolation on a class of three‐dimensional wave equations
E Shivanian - International Journal for Numerical Methods in …, 2016 - Wiley Online Library
In this article, the meshless local radial point interpolation method is applied to analyze three
space dimensional wave equations of the form subject to given initial and Dirichlet boundary …
space dimensional wave equations of the form subject to given initial and Dirichlet boundary …
[HTML][HTML] Two high-order numerical algorithms for solving the multi-term time fractional diffusion-wave equations
In this paper we apply a high order difference scheme and Galerkin spectral technique for
the numerical solution of multi-term time fractional partial differential equations. The …
the numerical solution of multi-term time fractional partial differential equations. The …
Local radial point interpolation (MLRPI) method for solving time fractional diffusion-wave equation with dam**
The purpose of the current investigation is to determine numerical solution of time-fractional
diffusion-wave equation with dam** for Caputo's fractional derivative of order α (1< α≤ 2) …
diffusion-wave equation with dam** for Caputo's fractional derivative of order α (1< α≤ 2) …
Local integration of 2-D fractional telegraph equation via local radial point interpolant approximation
In this article, a general type of two-dimensional time-fractional telegraph equation
explained by the Caputo derivative sense for (1< α≤ 2) is considered and analyzed by a …
explained by the Caputo derivative sense for (1< α≤ 2) is considered and analyzed by a …
Meshless local Petrov–Galerkin (MLPG) method for three-dimensional nonlinear wave equations via moving least squares approximation
E Shivanian - Engineering Analysis with Boundary Elements, 2015 - Elsevier
This paper proposes an approach based on the Galerkin weak form and moving least
squares (MLS) approximation to simulate three space dimensional nonlinear wave equation …
squares (MLS) approximation to simulate three space dimensional nonlinear wave equation …
Influence of size effect on flapwise vibration behavior of rotary microbeam and its analysis through spectral meshless radial point interpolation
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 …
flapwise vibration behavior of rotary microbeam is analyzed based on Bernoulli–Euler beam …
A new spectral meshless radial point interpolation (SMRPI) method: a well-behaved alternative to the meshless weak forms
E Shivanian - Engineering Analysis with Boundary Elements, 2015 - Elsevier
In this article, a new spectral meshless radial point interpolation (SMRPI) technique is
proposed and, as a test problem, applied to the two-dimensional diffusion equation with an …
proposed and, as a test problem, applied to the two-dimensional diffusion equation with an …
Nonlinear fractional integro-differential reaction-diffusion equation via radial basis functions
This paper proposes a numerical method to deal with the nonlinear time-fractional integro-
differential reaction-diffusion equation defined by the Caputo fractional derivative. In the …
differential reaction-diffusion equation defined by the Caputo fractional derivative. In the …
Meshless technique for the solution of time‐fractional partial differential equations having real‐world applications
In this article, radial basis function collocation scheme is adopted for the numerical solution
of fractional partial differential equations. This method is highly demanding because of its …
of fractional partial differential equations. This method is highly demanding because of its …