Logarithmic Jacobi collocation method for Caputo–Hadamard fractional differential equations
We introduce a class of orthogonal functions associated with integral and fractional
differential equations with a logarithmic kernel. These functions are generated by applying a …
differential equations with a logarithmic kernel. These functions are generated by applying a …
[HTML][HTML] The backward problem for a time-fractional diffusion-wave equation in a bounded domain
T Wei, Y Zhang - Computers & Mathematics with Applications, 2018 - Elsevier
This paper is devoted to solve the backward problem for a time-fractional diffusion-wave
equation in a bounded domain. Based on the series expression of the solution for the direct …
equation in a bounded domain. Based on the series expression of the solution for the direct …
An easy to implement linearized numerical scheme for fractional reaction–diffusion equations with a prehistorical nonlinear source function
In this paper, we construct and analyze a linearized finite difference/Galerkin–Legendre
spectral scheme for the nonlinear Riesz-space and Caputo-time fractional reaction–diffusion …
spectral scheme for the nonlinear Riesz-space and Caputo-time fractional reaction–diffusion …
Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain
The time distributed-order diffusion-wave equation describes radial groundwater flow to or
from a well. In the paper, an alternating direction implicit (ADI) Legendre–Laguerre spectral …
from a well. In the paper, an alternating direction implicit (ADI) Legendre–Laguerre spectral …
A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with …
This paper is devoted to introducing a novel methodology to prove the convergence and
stability of a Crank–Nicolson difference approximation for a class of multi-term time …
stability of a Crank–Nicolson difference approximation for a class of multi-term time …
Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
F Yang, Y Zhang, XX Li - Numerical Algorithms, 2020 - Springer
This paper considers the inverse problem for identifying the initial value problem of a space-
time fractional diffusion wave equation. In general, this problem is ill-posed and the …
time fractional diffusion wave equation. In general, this problem is ill-posed and the …
On the applicability of Genocchi wavelet method for different kinds of fractional‐order differential equations with delay
H Dehestani, Y Ordokhani… - Numerical Linear Algebra …, 2019 - Wiley Online Library
A novel collocation method based on Genocchi wavelet is presented for the numerical
solution of fractional differential equations and time‐fractional partial differential equations …
solution of fractional differential equations and time‐fractional partial differential equations …
Identifying a fractional order and a space source term in a time-fractional diffusion-wave equation simultaneously
K Liao, T Wei - Inverse Problems, 2019 - iopscience.iop.org
This paper is devoted to identify simultaneously a fractional order and a space source term
in a multi-dimensional time-fractional diffusion-wave equation by the final time measurement …
in a multi-dimensional time-fractional diffusion-wave equation by the final time measurement …
Exponential Jacobi-Galerkin method and its applications to multidimensional problems in unbounded domains
Modeling an infinite domain arises while simulating physical applications frequently. It is like
attempting to model the effects and properties of the ocean in a bucket. In this paper, we …
attempting to model the effects and properties of the ocean in a bucket. In this paper, we …
Research on a collocation approach and three metaheuristic techniques based on MVO, MFO, and WOA for optimal control of fractional differential equation
A Ebrahimzadeh, R Khanduzi… - Journal of Vibration …, 2023 - journals.sagepub.com
Exploiting a comprehensive mathematical model for a class of systems governed by
fractional optimal control problems is the significant focal point of the current paper. The …
fractional optimal control problems is the significant focal point of the current paper. The …