[HTML][HTML] A comprehensive analysis for weakly singular nonlinear functional Volterra integral equations using discretization techniques

IA Bhat, LN Mishra, VN Mishra, M Abdel-Aty… - Alexandria Engineering …, 2024 - Elsevier
This study investigates weakly singular nonlinear functional Volterra integral equations
(WSNFVIEs) of Urysohn type involving Riemann–Liouville operator. By imposing specific …

Numerical computing approach for solving Hunter-Saxton equation arising in liquid crystal model through sinc collocation method

I Ahmad, H Ilyas, K Kutlu, V Anam, SI Hussain… - Heliyon, 2021 - cell.com
In this study, numerical treatment of liquid crystal model described through Hunter-Saxton
equation (HSE) has been presented by sinc collocation technique through theta weighted …

The numerical solution of a time-delay model of population growth with immigration using Legendre wavelets

A Goligerdian, MK Oshagh - Applied Numerical Mathematics, 2024 - Elsevier
The paper addresses a computational method to simulate more accurate models for
population growth with immigration, focusing on integral equations (IEs) featuring a delay …

[HTML][HTML] On a new method for finding numerical solutions to integro-differential equations based on Legendre multi-wavelets collocation

I Khan, M Asif, R Amin, Q Al-Mdallal, F Jarad - Alexandria Engineering …, 2022 - Elsevier
In this article, a wavelet collocation method based on linear Legendre multi-wavelets is
proposed for the numerical solution of the first as well as higher orders Fredholm, Volterra …

The numerical solution of nonlinear delay Volterra integral equations using the thin plate spline collocation method with error analysis

A Hosseinian, P Assari, M Dehghan - Computational and Applied …, 2023 - Springer
Delay integral equations can be used to model a large variety of phenomena more
realistically by intervening in the history of processes. Indeed, the past exerts its influences …

Comparative study on Chebyshev, Legendre, and Lucas wavelets: A review

R Koundal - Numerical Heat Transfer, Part B: Fundamentals, 2024 - Taylor & Francis
Wavelet methods serve as a powerful tool in applied mathematics and gaining significant
attention in physics, mathematics, and engineering research for their ability to analyze …

Numerical Investigation of Fractional‐Order Differential Equations via φ‐Haar‐Wavelet Method

FM Alharbi, AM Zidan, M Naeem… - Journal of Function …, 2021 - Wiley Online Library
In this paper, we propose a novel and efficient numerical technique for solving linear and
nonlinear fractional differential equations (FDEs) with the φ‐Caputo fractional derivative. Our …

A novel hybrid method with convergence analysis for approximation of HTLV-I dynamics model

M Molavi-Arabshahi, J Rashidinia, M Yousefi - Scientific Reports, 2024 - nature.com
This paper presents a novel numerical approach for approximating the solution of the model
describing the infection of CD 4+ T-cells by the human T-cell lymphotropic virus I (HTLV-I) …

Haar wavelets method for solving class of coupled systems of linear fractional Fredholm integro-differential equations

A Darweesh, K Al-Khaled, OA Al-Yaqeen - Heliyon, 2023 - cell.com
In this paper, firstly, the" Haar wavelet method" is used to give approximate solutions for
coupled systems of linear fractional Fredholm integro-differential equations. Moreover, we …

Study the genetic variation using Eta functions

S Mashayekhi, S Sedaghat - Computational and Applied Mathematics, 2023 - Springer
This paper studies the genetic variation within species using the Eta base functions. We
consider the House of Cards Kingman's model to study genetic variation. This model …