The peridynamic differential operator for solving time-fractional partial differential equations
VR Hosseini, W Zou - Nonlinear Dynamics, 2022 - Springer
In this paper, the numerical solution of time-fractional convection diffusion equations (TF-
CDEs) is considered as a generalization of classical ones, nonexponential relaxation …
CDEs) is considered as a generalization of classical ones, nonexponential relaxation …
[HTML][HTML] A mathematical model and numerical solution for brain tumor derived using fractional operator
In this paper, we present a mathematical model of brain tumor. This model is an extension of
a simple two-dimensional mathematical model of glioma growth and diffusion which is …
a simple two-dimensional mathematical model of glioma growth and diffusion which is …
[HTML][HTML] Computational analysis of time-fractional models in energy infrastructure applications
In this paper, we propose an effective numerical method to solve the one-and two-
dimensional time-fractional convection-diffusion equations based on the Caputo derivative …
dimensional time-fractional convection-diffusion equations based on the Caputo derivative …
Numerical solution of distributed order integro-differential equations
In this paper, a numerical algorithm is presented to obtain approximate solution of
distributed order integro-differential equations. The approximate solution is expressed in the …
distributed order integro-differential equations. The approximate solution is expressed in the …
Glioblastoma multiforme growth prediction using a Proliferation-Invasion model based on nonlinear time-fractional 2D diffusion equation
O Bavi, M Hosseininia, M Hajishamsaei… - Chaos, Solitons & …, 2023 - Elsevier
The glioblastoma multiforme (GBM) is the fast-growing and aggressive type of tumor of the
brain or spinal cord that is associated with high morbidity and mortality. Therefore, accurate …
brain or spinal cord that is associated with high morbidity and mortality. Therefore, accurate …
An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion–reaction equations with fixed delay
A linearized spectral Galerkin/finite difference approach is developed for variable fractional-
order nonlinear diffusion–reaction equations with a fixed time delay. The temporal …
order nonlinear diffusion–reaction equations with a fixed time delay. The temporal …
New general integral transform via Atangana–Baleanu derivatives
The current paper is about the investigation of a new integral transform introduced recently
by Jafari. Specifically, we explore the applicability of this integral transform on Atangana …
by Jafari. Specifically, we explore the applicability of this integral transform on Atangana …
A stable collocation approach to solve a neutral delay stochastic differential equation of fractional order
In this article, a step-by-step collocation technique based on the Jacobi polynomials is
considered to solve a class of neutral delay fractional stochastic differential equations …
considered to solve a class of neutral delay fractional stochastic differential equations …
Solitary wave propagation of the generalized Kuramoto-Sivashinsky equation in fragmented porous media
This paper presents a localized meshless approach based on the radial basis function-finite
difference (RBF-FD) to find the approximation solution of the generalized Kuramoto …
difference (RBF-FD) to find the approximation solution of the generalized Kuramoto …
[HTML][HTML] A face-centred finite volume approach for coupled transport phenomena and fluid flow
We present a particular derivation of the face-centred finite volume (FCFV) method and
study its performance in non-linear, coupled transport problems commonly encountered in …
study its performance in non-linear, coupled transport problems commonly encountered in …