On spectral Petrov–Galerkin method for solving optimal control problem governed by fractional diffusion equations with fractional noise
S Li, W Cao - Journal of Scientific Computing, 2023 - Springer
In this paper, a spectral Petrov–Galerkin method is developed to solve an optimal control
problem governed by a two-sided space-fractional diffusion-reaction equation with additive …
problem governed by a two-sided space-fractional diffusion-reaction equation with additive …
A numerical method based on Legendre wavelet and quasilinearization technique for fractional Lane-Emden type equations
F İdiz, G Tanoğlu, N Aghazadeh - Numerical Algorithms, 2024 - Springer
In this research, we study the numerical solution of fractional Lane-Emden type equations,
which emerge mainly in astrophysics applications. We propose a numerical approach …
which emerge mainly in astrophysics applications. We propose a numerical approach …
Analysis and Petrov–Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations
In this paper we investigate the variable coefficient two-sided fractional diffusion, advection,
reaction equations on a bounded interval. It is known that the fractional diffusion operator …
reaction equations on a bounded interval. It is known that the fractional diffusion operator …
On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation
S Li, W Cao, Y Wang - Computers & Mathematics with Applications, 2022 - Elsevier
In this paper, we investigate a spectral Petrov-Galerkin method for an optimal control
problem governed by a two-sided space-fractional diffusion-advection-reaction equation …
problem governed by a two-sided space-fractional diffusion-advection-reaction equation …
Optimal error estimates of spectral Galerkin method for mixed diffusion equations
Z Hao - Calcolo, 2023 - Springer
We present a highly accurate and efficient spectral Galerkin method for the advection–
diffusion–reaction equations with fractional lower-order terms in one dimension. We first …
diffusion–reaction equations with fractional lower-order terms in one dimension. We first …
Numerical approximation of optimal convergence for fractional elliptic equations with additive fractional Gaussian noise
We study numerical approximation for one-dimensional stochastic elliptic equations with
integral fractional Laplacian and the additive Gaussian noise of power-law: 1/f^β noise and …
integral fractional Laplacian and the additive Gaussian noise of power-law: 1/f^β noise and …
On spectral Petrov-Galerkin method for solving fractional initial value problems in weighted Sobolev space
In this paper, we investigate a spectral Petrov-Galerkin method for fractional initial value
problems. Singularities of the solution at the origin inherited from the weakly singular kernel …
problems. Singularities of the solution at the origin inherited from the weakly singular kernel …
[PDF][PDF] Stability and convergence analysis for a uniform temporal high accuracy of the time-fractional diffusion equation with 1D and 2D spatial compact finite difference …
J Cao, Z Wang, Z Wang - AIMS Mathematics, 2024 - aimspress.com
The 1D and 2D spatial compact finite difference schemes (CFDSs) for time-fractional
diffusion equations (TFDEs) were presented in this article with uniform temporal …
diffusion equations (TFDEs) were presented in this article with uniform temporal …
Legendre wavelet collocation method with quasilinearization technique for fractional differential equations
F İdiz - 2022 - search.proquest.com
LEGENDRE WAVELET COLLOCATION METHOD WITH QUASILINEARIZATION
TECHNIQUE FOR FRACTIONAL DIFFERENTIAL EQUATIONS Page 1 A Thesis Submitted …
TECHNIQUE FOR FRACTIONAL DIFFERENTIAL EQUATIONS Page 1 A Thesis Submitted …