Numerical solution of nonlinear space–time fractional-order advection–reaction–diffusion equation

KD Dwivedi, Rajeev, S Das… - Journal of …, 2020 - asmedigitalcollection.asme.org
… a porous media problem of nonlinear order in fractional order system. In our problem, the …
10 − 17 + x ) ≈ x t 2 ⁠, which implies that the approximate and exact solutions are similar.▪ …

Numerical solution of the time fractional reaction-advection-diffusion equation in porous media

P Pandey, S Kumar, JF Gómez-Aguilar - Journal of Applied and …, 2022 - jacm.scu.ac.ir
solution for the system of nonlinear time-fractional order … nonlinear fractional order system
of coupled Burgers’ equation … the above system we find the approximate numerical solution of …

[PDF][PDF] Operational matrix method to solve nonlinear reaction-advection-diffusion equation in fractional order system

EM Craciun, M Singh - Analele ştiinţifice ale Universităţii" Ovidius" …, 2022 - sciendo.com
… a method to find exact solution of nonlinear diffusion equation by using variational … to find
the approximate solution of diffusion equation of fractional order, [5] … solution of coupled FDE. …

Boundary Mittag-Leffler stabilization of coupled time fractional order reactionadvectiondiffusion systems with non-constant coefficients

J Chen, A Tepljakov, E Petlenkov, YQ Chen… - Systems & Control …, 2021 - Elsevier
order relevant work [21], [26] focused primarily on theoretical results. For the boundary
stabilization problem here, we address the fractional order … terms (eliminate coupling effects in …

A numerical method for nonlinear fractional reactionadvectiondiffusion equation with piecewise fractional derivative

MH Heydari, A Atangana - Mathematical Sciences, 2023 - Springer
… by approximating solution of the equation mutually via the expressed cardinal functions and
… the exact solution. We can also compute the associated conditions via the analytic solution. …

A numerical approach based on Vieta–Fibonacci polynomials to solve fractional order advection–reaction diffusion problem

R Sharma, Rajeev - The Journal of Analysis, 2024 - Springer
… the numerical solution for a non-linear reaction--advection diffusion … to the classical
reactionadvection diffusion equation. … 4, we develop an approximate formula dimensions Caputo …

A novel numerical manner for non-linear coupled variable order reaction-diffusion equation

M Kashif, P Pandey, H Jafari - Thermal Science, 2023 - doiserbia.nb.rs
… The exact solutions of many PDE of fractional order do not … have been invented to find their
approximate solutions [5-9]. The … reaction-advection-diffusion and the 2-D VO coupled system

An efficient technique for solving the space-time fractional reaction-diffusion equation in porous media

P Pandey, S Kumar, JF Gómez-Aguilar… - Chinese Journal of …, 2020 - Elsevier
… the approximate numerical solution for fractional order partial … The system of coupled
Drinfel’dSokolovWilson equations … At last we can approximate the analytical solution u ( x , t ) …

Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations

MH Heydari, Z Avazzadeh, A Atangana - Applied Numerical Mathematics, 2021 - Elsevier
… by variable-order operations is finding analytical solution. … classical fractional order which
are particular cases of the VO … algebraic system, we obtain an approximate solution for the …

Wave solutions and numerical validation for the coupled reaction-advection-diffusion dynamical model in a porous medium

AM Mubaraki, H Kim, RI Nuruddeen… - … in Theoretical Physics, 2022 - iopscience.iop.org
… Hence, we give the 3D and 2D plots for the obtained approximate solution of coupled
between the exact solution (w 1 (x, t), w 2 (x, t)) and that of the approximate solution via the sum of …