Results 21 to 30 of about 2,673,333 (280)

PRODUCT INTEGRATION FOR WEAKLY SINGULAR INTEGRO-DIFFERENTIAL EQUATIONS

Mathematical Modelling and Analysis, 2011
On the basis of product integration techniques a discrete version of a piecewise polynomial collocation method for the numerical solution of initial or boundary value problems of linear Fredholm integro-differential equations with weakly singular kernels is constructed.
Pedas, Arvet, Tamme, Enn
openaire   +3 more sources

Solving weakly singular integral equations utilizing the meshless local discrete collocation technique

Alexandria Engineering Journal, 2018
The current work presents a computational scheme to solve weakly singular integral equations of the second kind. The discrete collocation method in addition to the moving least squares (MLS) technique established on scattered points is utilized to ...
Pouria Assari
doaj   +1 more source

Some weakly singular Volterra integral inequalities with maxima in two variables

Journal of Inequalities and Applications, 2023
In this paper, we establish some new weakly singular Volterra type integral inequalities that include the maxima of the unknown function of two variables.
Yining Sun, Run Xu
doaj   +1 more source

Attractivity of solutions of Riemann–Liouville fractional differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2022
Some new weakly singular integral inequalities are established by a new method, which generalize some results of this type in some previous papers.
Tao Zhu
doaj   +1 more source

An Analytical and Approximate Solution for Nonlinear Volterra Partial Integro-Differential Equations with a Weakly Singular Kernel Using the Fractional Differential Transform Method

International Journal of Differential Equations, 2018
An analytical-approximate method is proposed for a type of nonlinear Volterra partial integro-differential equations with a weakly singular kernel. This method is based on the fractional differential transform method (FDTM).
Rezvan Ghoochani-Shirvan, Jafar Saberi-Nadjafi, Morteza Gachpazan   +2 more
doaj   +1 more source

Solution of a singular integral equation by a split-interval method

, 2007
The article is available at http://www.math.ualberta.ca/ijnam/Volume-4-2007/No-1-07/2007-01-05.pdf. This article is not available through the Chester Digital RepositoryThis article discusses a new numerical method for the solution of a singular integral ...
Ford, Neville J., Lima, Pedro M., Thomas, Sophy M., Diogo, Teresa   +3 more
core   +2 more sources

Second-order maximum principle controlled weakly singular Volterra integral equations [PDF]

Archives of Control Sciences
This work studies a class of singular Volterra integral equations that are (controlled) and can be applied to memory-related problems. For optimum controls, we prove a second-order Pontryagin type maximal principle.
Jasarat J. Gasimov, Nazim I. Mahmudov
doaj   +1 more source

On the asymptotic behaviour of deterministic and stochastic volterra integro-differential equations [PDF]

, 2007
This thesis examines a question of stability in stochastic and deterministic systems with memory, and involves studying the asymptotic properties of Volterra integro-differential equations.
Devin, Siobhan
core   +1 more source

Quadratic spline collocation method for weakly singular integral equations and corresponding eigenvalue problem

Mathematical Modelling and Analysis, 2002
A quadratic spline collocation method for the numerical solution of weakly singular Fredholm integral equations of the second kind and corresponding eigenvalue problem is constructed.
R. Pallav, A. Pedas
doaj   +1 more source

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