Results 1 to 10 of about 553 (265)

Singularly perturbed Volterra integral equations with weakly singular kernels [PDF]

International Journal of Mathematics and Mathematical Sciences, 2002
We consider finding asymptotic solutions of the singularly perturbed linear Volterra integral equations with weakly singular kernels. An interesting aspect of these problems is that the discontinuity of the kernel causes layer solutions to decay ...
Angelina Bijura
doaj   +2 more sources

A generalized Chebyshev operational method for Volterra integro-partial differential equations with weakly singular kernels [PDF]

Heliyon
Volterra integro-partial differential equations with weakly singular kernels (VIPDEWSK) are utilized to model diverse physical phenomena. A matrix collocation method is proposed for determining the approximate solution of this functional equation ...
Khadijeh Sadri, David Amilo, Evren Hinçal, Kamyar Hosseini, Soheil Salahshour   +4 more
doaj   +2 more sources

A Hybrid Collocation Method for Volterra Integral Equations with Weakly Singular Kernels [PDF]

SIAM Journal on Numerical Analysis, 2003
This paper presents a new hybrid collocation method for solving certain second kind Volterra integral equations with singular kernels. The solution of the equation has a singularity, caused by the singularity in the kernel, and this presents particular challenges for numerical schemes.
Yanzhao Cao
exaly   +3 more sources

An Efficient Numerical Method Based on Bell Wavelets for Solving the Fractional Integro-Differential Equations with Weakly Singular Kernels

Fractal and Fractional
A novel numerical scheme based on the Bell wavelets is proposed to obtain numerical solutions of the fractional integro-differential equations with weakly singular kernels.
Yanxin Wang, Xiaofang Zhou
doaj   +3 more sources

On the convergence rate of collocation methods for Volterra integral equations with weakly singular oscillatory trigonometric kernels

Results in Applied Mathematics, 2023
This paper presents efficient collocation methods for linear Volterra integral equations with weakly singular highly oscillatory kernels. The numerical steepest descent method and generalized Gauss–Laguerre rule are utilized to calculate the weakly ...
Qinghua Wu, Mengjun Sun
doaj   +1 more source

Spline Collocation for Multi-Term Fractional Integro-Differential Equations with Weakly Singular Kernels

Fractal and Fractional, 2021
We consider general linear multi-term Caputo fractional integro-differential equations with weakly singular kernels subject to local or non-local boundary conditions.
Arvet Pedas, Mikk Vikerpuur
doaj   +1 more source

A New Efficient Method for Solving System of Weakly Singular Fractional Integro-Differential Equations by Shifted Sixth-Kind Chebyshev Polynomials

Journal of Mathematics, 2022
In this paper, a new approach for solving the system of fractional integro-differential equation with weakly singular kernels is introduced. The method is based on a class of symmetric orthogonal polynomials called shifted sixth-kind Chebyshev ...
S. Yaghoubi, H. Aminikhah, K. Sadri
doaj   +1 more source

Cubic hat-functions approximation for linear and nonlinear fractional integral-differential equations with weakly singular kernels [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2023
In the current study, a new numerical algorithm is presented to solve a class of nonlinear fractional integral-differential equations with weakly singular kernels. Cubic hat functions (CHFs) and their properties are introduced for the first time.
H. Ebrahimi, J. Biazar
doaj   +1 more source

Spectral Collocation Methods for Fractional Integro-Differential Equations with Weakly Singular Kernels

Journal of Mathematics, 2022
In this paper, we propose and analyze a spectral approximation for the numerical solutions of fractional integro-differential equations with weakly kernels.
Xiulian Shi
doaj   +1 more source

Vibration analysis of airfoil on hereditary deformable suspensions [PDF]

E3S Web of Conferences, 2019
This paper describes the analyses of the nonlinear vibrations and dynamic stability of an airfoil on hereditary-deformable suspensions. The model is based on two-degree-of-freedom structure in geometrically nonlinear statements. It provides justification
Usmonov Botir, Rakhimov Quvvatali
doaj   +1 more source