A new numerical study of space–time fractional advection–reaction–diffusion equation with Rabotnov fractional‐exponential kernel

S Kumar, B Ahmad - Numerical Methods for Partial Differential …, 2022 - Wiley Online Library
In this article, we study a model problem for the advection–reaction–diffusion equation
involving a new nonsingular time‐fractional derivative with Rabotnov fractional‐exponential …

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
In this article, we attempt to provide the numerical solution for a non-linear reaction--
advection diffusion equation with fractional-order space-time derivatives in a finite domain …

Fibonacci polynomials for the numerical solution of variable‐order space‐time fractional Burgers‐Huxley equation

MH Heydari, Z Avazzadeh - Mathematical Methods in the …, 2021 - Wiley Online Library
In this article, the variable‐order (VO) space‐time fractional version of the Burgers‐Huxley
equation is introduced with fractional differential operator of the Caputo type. The collocation …

Computational Analysis of Fractional Reaction-Diffusion Equations that Appear in Porous Media

V Gill, HV Harsh, TB Budathoki - Nepal Journal of Mathematical …, 2023 - nepjol.info
The Elzaki Transform Homotopy Perturbation Method (ETHPM), a modified computational
technique, is used in this article to solve the time-fractional reaction-diffusion equation that …

[PDF][PDF] Mathematical Modelling of Financial Literacy and Loan Repayment in Savings and Credit Cooperative Societies of Tanzania

B Michael, S Mirau, M Kimathi - researchmathsci.org
Loan Repayment (LR) is one of the key performance indicators in SACCOS. Given the
importance of LR, researchers and policymakers have dedicated their attention to the …

Behavior of Solute Concentration in Porous Media

KD Dwivedi - 2021 - idr-lib.iitbhu.ac.in
It has shown experimentally that we can not model every diffusion phenomenon with the
classical diffusion equation. When the fractional calculus came into light, the researchers …

Study of dynamics of fluid in porous media.

P Pandey - 2021 - idr-lib.iitbhu.ac.in
The diffusion of solutes in presence of advection and reaction phenomena has been
discussed and analyzed using Cahn-Hilliard equation in chapter 2 under given initial and …