[HTML][HTML] Computational analysis of time-fractional models in energy infrastructure applications

I Ahmad, AA Bakar, I Ali, S Haq, S Yussof… - Alexandria Engineering …, 2023 - Elsevier
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 …

A numerical approach for singularly perturbed reaction diffusion type volterra-fredholm integro-differential equations

ME Durmaz - Journal of Applied Mathematics and Computing, 2023 - Springer
The goal of this study is to introduce a second-order computational method to solve Volterra-
Fredholm integro-differential equations involving boundary layers. To solve numerically, we …

A stable numerical method for singularly perturbed Fredholm integro differential equation using exponentially fitted difference method

MS Hogeme, MM Woldaregay, L Rathour… - Journal of Computational …, 2024 - Elsevier
This paper implemented a stable numerical scheme for solving singularly perturbed linear
second-order Fredholm integro-differential equation. A parameter-uniform numerical method …

A fitted operator numerical method for singularly perturbed Fredholm integro-differential equation with integral initial condition

AF Oljira, MM Woldaregay - BMC Research Notes, 2024 - Springer
Objectives In this paper, a uniformly convergent numerical scheme is proposed for solving a
singularly perturbed Fredholm integro-differential equation with an integral initial condition …

A numerical solution of singularly perturbed Fredholm integro-differential equation with discontinuous source term

AS Rathore, V Shanthi - Journal of Computational and Applied …, 2024 - Elsevier
In this paper, we investigate a singularly perturbed Fredholm integro-differential problem
with a discontinuous source term, leading to the formation of interior layers in the solution at …