Results 91 to 100 of about 7,526 (199)

Lyapunov Stability and Optimization of a Fractional‐Order HIV/AIDS Model Coupling Vertical Transmission With Saturated Treatment

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This research introduces a fractional‐order nonlinear model for the dynamics of human immunodeficiency virus (HIV) and acquired immune deficiency syndrome (AIDS) using Caputo‐type derivatives of noninteger order. Solution properties of the model are investigated by analyzing positivity and boundedness characteristics via the generalized mean value ...
Sulaimon F. Abimbade, Furaha M. Chuma, Samson Olaniyi, Adekunle O. Sangotola, Gideon K. Gogovi, Shikha Binwal   +5 more
wiley   +1 more source

Tau approximate solution of weakly singular Volterra integral equations

Mathematical and Computer Modelling, 2013
Abstract In this paper, we present a numerical solution of weakly singular Volterra integral equations including the Abel’s equations by the Tau method with arbitrary polynomial bases. The Tau method produces approximate polynomial solutions of differential, integral and integro-differential equations. An extension of the Tau method has been done for
Karimi Vanani, S., Soleymani, F.
openaire   +1 more source

On an integral equation of the Dirichlet problem for the heat equation in the degenerating domain

Қарағанды университетінің хабаршысы. Математика сериясы, 2016
This paper considers the first boundary value problem of heat conduction in a degenerating domain with a moving boundary, the boundary of the domain moves at a variable velocity.
M.T. Kosmakova
doaj  

Fast numerical solution of weakly singular Volterra integral equations

Journal of Computational and Applied Mathematics, 1988
The authors present an algorithm for the solution of nonlinear, weakly singular Volterra integral equations of the form \[ y(t)=f(t)+1/\sqrt{\pi}\int^{t}_{0}(t-s)^{-1/2}k(t-s)g(s,y(s))ds, \] whose solution is assumed to be a smooth function of \(\sqrt{t}\).
Hairer, Ernst, Lubich, Christian, Schlichte, Manfred   +2 more
openaire   +2 more sources

Toeplitz Matrix Method and Nonlinear Volterra–Fredholm Integral Equation With Hilbert Kernel

Computational and Mathematical Methods
This work emphasizes the investigation of the solution to the nonlinear Volterra–Fredholm integral equation (NV-FIE) and the necessary conditions for a unique solution.
Sameeha Ali Raad, Ahlam Yahya Alabdali
doaj   +1 more source

On linear singular volterra integral equations of the second kind

Journal of Mathematical Analysis and Applications, 1984
Let \(\mu\) be a nonatomic, signed measure on the Borel sets of \([0,1]\), whose total variation measure is infinite on \([0,1]\), but finite on \([t,1]\), \(t\in (0,1)\). Let the measurable function \(k\) be defined on \(\Delta =\{(t,s):\) \(0\leq s\leq t\leq 1\}\) such that \(k(\circ,s)\) is absolutely continuous on \([s,1]\) with derivative \(k_ t ...
openaire   +1 more source

Annual Reports to the ESA Council ESA 110th Annual Meeting July, 2025

The Bulletin of the Ecological Society of America, Volume 107, Issue 2, April 2026.
wiley   +1 more source

On the stability of piecewise polynomial collocation methods for solving weakly singular integral equations of the second kind

Mathematical Modelling and Analysis, 2008
Piecewise polynomial collocation methods on special nonuniform grids are efficient methods for solving weakly singular Fredholm and Volterra integral equations but there is a widespread belief that those methods are numerically unstable in the case of ...
Raul Kangro, Inga Kangro
doaj   +1 more source

A Novel Third Order Numerical Method for Solving Volterra Integro-Differential Equations

, 2016
In this paper we introduce a numerical method for solving nonlinear Volterra integro-differential equations. In the first step, we apply implicit trapezium rule to discretize the integral in given equation.
Bhalekar, Sachin, Patade, Jayvant
core  

A Mechanical Quadrature Method for Solving Delay Volterra Integral Equation with Weakly Singular Kernels

Complexity, 2019
In this work, a mechanical quadrature method based on modified trapezoid formula is used for solving weakly singular Volterra integral equation with proportional delays.
Li Zhang, Jin Huang, Yubin Pan, Xiaoxia Wen   +3 more
doaj   +1 more source