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[HTML][HTML] A comprehensive analysis for weakly singular nonlinear functional Volterra integral equations using discretization techniques
This study investigates weakly singular nonlinear functional Volterra integral equations
(WSNFVIEs) of Urysohn type involving Riemann–Liouville operator. By imposing specific …
(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
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 …
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
The paper addresses a computational method to simulate more accurate models for
population growth with immigration, focusing on integral equations (IEs) featuring a delay …
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
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 …
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
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 …
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 …
attention in physics, mathematics, and engineering research for their ability to analyze …
Numerical Investigation of Fractional‐Order Differential Equations via φ‐Haar‐Wavelet Method
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 …
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
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) …
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
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 …
coupled systems of linear fractional Fredholm integro-differential equations. Moreover, we …
Study the genetic variation using Eta functions
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 …
consider the House of Cards Kingman's model to study genetic variation. This model …