[HTML][HTML] A novel distributed approach for event-triggered economic dispatch of energy hubs under ramp-rate limits integrated with sustainable energy networks

I Ahmed, M Rehan, A Basit, M Tufail, N Ullah, M Piecha… - Energy Reports, 2023 - Elsevier
This paper investigates a new consensus-oriented distributed approach for the event-
triggered (ET) economic dispatch problem (EDP) over a smart grid under ramp-rate limits …

[HTML][HTML] The Fibonacci wavelets approach for the fractional Rosenau–Hyman equations

S Kumbinarasaiah, M Mulimani - Results in Control and Optimization, 2023 - Elsevier
In this study, a novel approach, called the Fibonacci wavelet collocation technique (FWCT),
is presented for the numerical solution of nonlinear fractional order partial differential …

A mathematical model for precise predicting microbial propagation based on solving variable‐order fractional diffusion equation

O Bavi, M Hosseininia… - Mathematical Methods in …, 2023 - Wiley Online Library
Continued mortality from Covid‐19 disease and environmental considerations resulting from
the cemetery, landfill, wastewater treatment plants, and mass personal protective equipment …

[HTML][HTML] Chelyshkov polynomials method for distributed-order time fractional nonlinear diffusion-wave equations

MH Heydari, S Rashid, YM Chu - Results in Physics, 2023 - Elsevier
This work deals with the distributed-order time fractional nonlinear diffusion-wave equations.
These equations are generated by replacing the first-and second-order time derivative terms …

[HTML][HTML] A novel numerical method for solving optimal control problems using fourth-degree hat functions

JK Mohammed, AR Khudair - Partial Differential Equations in Applied …, 2023 - Elsevier
This paper focuses on solving a class of nonlinear optimal control problems by constructing
novel hat functions based on fourth-order polynomials, namely, fourth-degree hat functions …

Touchard wavelet technique for solving time-fractional Black–Scholes model

F Nourian, M Lakestani, S Sabermahani… - Computational and …, 2022 - Springer
The main idea of this study is to introduce a novel set of wavelet functions named Touchard
wavelets for solving time-fractional Black–Scholes equations. The numerical method is …

Application of two-dimensional Fibonacci wavelets in fractional partial differential equations arising in the financial market

S Sabermahani, Y Ordokhani, P Rahimkhani - International Journal of …, 2022 - Springer
This manuscript provides an efficient and high-accuracy computational technique for solving
fractional Black–Scholes equations (FB–SEs) arising in the financial market. In order to find …

Fractional-order Liouville–Caputo electrical circuit models: QLM-Dickson matrix collocation algorithms

M Izadi, M Kamandar - Computers and Electrical Engineering, 2025 - Elsevier
The current manuscript is a step forward towards solving the generalized electrical circuit
models considered via the concept of Liouville–Caputo fractional operators with two orders …

Collocation method with Lagrange polynomials for variable‐order time‐fractional advection–diffusion problems

S Kumar, V Gupta - Mathematical Methods in the Applied …, 2024 - Wiley Online Library
In this study, we proposed a numerical technique to solve a class of variable‐order time‐
fractional advection–diffusion equations (VOTFADEs) by applying an operational matrix of …

A novel Touchard polynomial-based spectral matrix collocation method for solving the Lotka-Volterra competition system with diffusion

M Izadi, A El-Mesady, W Adel - Mathematical Modelling and …, 2024 - dergipark.org.tr
This paper presents the computational solutions of a time-dependent nonlinear system of
partial differential equations (PDEs) known as the Lotka-Volterra competition system with …