30 citations · 84 across the 17 of their papers we have counts for
7 papers · 1 filter
Fractal-Fractional HIV Dynamics with Mittag-Leffler Kernel: Analysis, Stability, and Numerical Simulations
Niaz Ali Shah, Samad Noeiaghdam
In this paper, a fractal--fractional HIV model with the Mittag--Leffler kernel is proposed using the Atangana--Baleanu--Caputo operator to capture the memory and hereditary propert…
A Chebyshev--Ritz Spectral Framework for Nonlinear Vibration of CNT-Reinforced Composite Beams
Maryam Jalili, Samad Noeiaghdam
This study develops a spectral Ritz formulation for the nonlinear free vibration analysis of carbon nanotube-reinforced composite (CNTRC) beams. Boundary-adapted Chebyshev basis fu…
Numerical solution of fractional Fredholm integro-differential equations by spectral method with fractional basis functions
Y. Talaei, S. Noeiaghdam, H. Hosseinzadeh
This paper presents an efficient spectral method for solving the fractional Fredholm integro-differential equations. The non-smoothness of the solutions to such problems leads to t…
Polynomial spline collocation method for solving weakly regular Volterra integral equations of the first kind
A. Tynda, S. Noeiaghdam, D. Sidorov
The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels. The Gauss-type quadrat…
Control of accuracy on Taylor-collocation method for load leveling problem
Samad Noeiaghdam, Denis Sidorov, Ildar Muftahov +1
High penetration of renewable energy sources coupled with the decentralization of transport and heating loads in future power systems will result in even more complex unit commitme…
Control of accuracy on Taylor-collocation method to solve the weakly regular Volterra integral equations of the first kind by using the CESTAC method
Samad Noeiaghdam, Denis Sidorov, Valery Sizikov
Finding the optimal parameters and functions of iterative methods is among the main problems of the Numerical Analysis. For this aim, a technique of the stochastic arithmetic (SA)…
Solving generalized Abel's integral equations of the first and second kinds via Taylor-collocation method
Eisa Zarei, Samad Noeiaghdam
The aim of this paper is to present an efficient numerical procedure to approximate the generalized Abel's integral equations of the first and second kinds. For this reason, the Ta…