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28.863  Articles
1 of 2.887 pages  |  10  records  |  more records»
This paper propose a residual based Galerkin method with Legendre polynomial as a basis functions to find the approximate solution of hypersingular integral equations. These equations   occur quite naturally in the field of aeronautics  suc... see more

The inclined crack problem in bonded dissimilar materials was considered in this study. The system of hypersingular integral equations (HSIEs) was formulated using the modified complex potentials (MCP) function method, where the continuity conditions of t... see more

A computational method based on modification of block pulse functions is proposed for solving numerically the linear Volterra-Fredholm integral equations. We obtain integration operational matrix of modification of block pulse functions on interval [0,T).... see more

The aim of this work is to study the existence, uniqueness, and stability solutions of a new nonlinear system of integral equation by using Picard approximation (successive approximation) method and Banach fixed point theorem. The study of such nonlinear ... see more

Approximate bimodal solutions for the integro-differential Boltzmann equation for the model of hard spheres are built in the case when the Maxwellian modes are screws with different degrees of infnite-simality of their angular velocities. Some suffcient c... see more

New sharp Kolmogorov type inequalities for hypersingular integrals with homogeneous characteristic of the form O(t)=sgnm?k=1tk\Omega(t) = \mathrm{sgn} \prod\limits_{k=1}^m t_k for multivariate functions from Hölder spaces are obtained.

In this paper, under certain conditions, the solution of mixed type of Fredholm-Volterra integral equation is discussed and obtained in the space L_2 (-1, 1) × C[0, T ], T < 8. Here, the singular part of kernel of Fredholm-Volterra integral term is est... see more

A series method is used to separate the variables of position and time for the Fredholm-Volterra integral equation of the first kind and the solution of the system in L_2 [0,1] × C[0,T], 0 = t = T < 8 is obtained, the Fredholm integral equation is disc... see more

This article presents appropriate hybrid methods to solve optimal control problems ruled by Volterra-Fredholm integral equations. The techniques are grounded on variational iteration together with a shooting method like procedure and parametrization metho... see more

1 of 2.887 pages  |  10  records  |  more records»