Results 31 to 40 of about 306,077 (345)

Numerical solution of integral equations with finite part integrals

International Journal of Mathematics and Mathematical Sciences, 1999
We obtain convergence rates for several algorithms that solve a class of Hadamard singular integral equations using the general theory of approximations for unbounded operators.
Samir A. Ashour
doaj   +1 more source

Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces [PDF]

, 2009
summary:A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach ...
Amer, Samir M., Ahmed, Marwa H., Saleh, Mohmed H.   +2 more
core   +1 more source

Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem

Advances in Differential Equations, 2017
One class of singular integral equations of convolution type with Hilbert kernel is studied in the space L2[−π,π]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy ...
Ping Li
semanticscholar   +1 more source

To the numerical solution of singular integro-differential Prandtl equation by the method of orthogonal polynomials

Журнал Белорусского государственного университета: Математика, информатика, 2019
In the paper, computational schemes for solving the Cauchy problem for the singular integro-differential Prandtl equation with a singular integral over a segment of the real axis, understood in the sense of the Cauchy principal value, are constructed and
Galina A. Rasolko
doaj   +1 more source

Solutions of Nonlinear Integral Equations and their Application to Singular Perturbation Problems [PDF]

, 1963
[See thesis for full ...
Willett, Douglas Warren
core   +1 more source

SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN

Вестник КазНУ. Серия математика, механика, информатика, 2021
In the paper we consider the boundary value problem of heat conduction outside the cone, i.e. in the domain degenerating into a point at the initial moment of time.
M. I. Ramazanov, Nurtay Kudaibergenovich Gulmanov   +1 more
doaj   +1 more source

Method of mechanical quadratures for solving singular integral equations of various types

, 2018
The method of mechanical quadratures is proposed as a common approach intended for solving the integral equations defined on finite intervals and containing Cauchy-type singular integrals.
A. Sahakyan, H. Amirjanyan
semanticscholar   +1 more source

Singular Higher-Order Complete Vector Bases for Finite Methods [PDF]

, 2004
This paper presents new singular curl- and divergence- conforming vector bases that incorporate the edge conditions. Singular bases complete to arbitrarily high order are described in a unified and consistent manner for curved triangular and ...
Graglia, Roberto, Lombardi, Guido
core   +1 more source

Interpolation method for solving Volterra integral equations with weakly singular kernel using an advanced barycentric Lagrange formula

Ain Shams Engineering Journal, 2022
We presented an interpolation method for solving weakly singular Volterra integral equations of the second kind (SVK2). The method based on the barycentric Lagrange interpolation.. For the chosen nodes of the two singular kernel variables, we created two
E.S. Shoukralla, B.M. Ahmed, M. Sayed, Ahmed Saeed   +3 more
doaj   +1 more source

Solution of Nonlinear Volterra Integral Equations with Weakly Singular Kernel by Using the HOBW Method

Advances in Mathematical Physics, 2019
We present a new numerical technique to discover a new solution of Singular Nonlinear Volterra Integral Equations (SNVIE). The considered technique utilizes the Hybrid Orthonormal Bernstein and Block-Pulse functions wavelet method (HOBW) to solve the ...
Mohamed R. Ali, M. Mousa, W. Ma
semanticscholar   +1 more source