Results 1 to 10 of about 4,020,007 (210)

Hyers-Ulam Stability of Nonlinear Integral Equation

open access: yesFixed Point Theory and Applications, 2010
We will apply the successive approximation method for proving the Hyers-Ulam stability of a nonlinear integral equation.
Gachpazan Mortaza, Baghani Omid
doaj   +3 more sources

The Solution of Generalization of the First and Second Kind of Abel’s Integral Equation

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika), 2023
Integral equations are equations in which the unknown function is found to be inside the integral sign. N. H. Abel used the integral equation to analyze the relationship between kinetic energy and potential energy in a falling object, expressed by two ...
Muhammad Taufik Abdillah   +2 more
doaj   +1 more source

Solving Volterra-Fredholm integral equations by natural cubic spline function

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
Using the natural cubic spline function, this paper finds the numerical solution of Volterra-Fredholm integral equations of the second kind. The proposed method is based on employing the natural cubic spline function of the unknown function at an ...
S.H. Salim, K.H.F. Jwamer, R.K. Saeed
doaj   +1 more source

Combined Field Integral Equation-Based Theory of Characteristic Mode [PDF]

open access: yesIEEE Transactions on Antennas and Propagation, 2015
Conventional electric field integral equation-based theory is susceptible to the spurious internal resonance problem when the characteristic modes (CMs) of closed perfectly conducting objects are computed iteratively. In this paper, we present a combined
Q. Dai, Qin S. Liu, H. Gan, W. Chew
semanticscholar   +1 more source

Boundary Integral Equation Methods for the Two-Dimensional Fluid-Solid Interaction Problem [PDF]

open access: yesSIAM Journal on Numerical Analysis, 2015
This paper is concerned with boundary integral equation methods for solving the two-dimensional fluid-solid interaction problem. We reduce the problem to three differential systems of boundary integral equations via direct and indirect approaches ...
Tao Yin, G. Hsiao, Liwei Xu
semanticscholar   +1 more source

Integral Operators of Mixed Type of Nonlinear Integral Equation [PDF]

open access: yesمجلة التربية والعلم, 2018
In this paper, we investigate some properties of nonlinear integral operators of mixed type of integral equations with kernels depending on two variables. The results concerning the continuity and compactness of these operators are obtained.
Lamyaa H. Saadoon
doaj   +1 more source

A Novel Integral Equation for Scattering by Locally Rough Surfaces and Application to the Inverse Problem [PDF]

open access: yesSIAM Journal on Applied Mathematics, 2013
This paper is concerned with the direct and inverse acoustic or electromagnetic scattering problems by a locally perturbed, perfectly reflecting, infinite plane (which is called a locally rough surface in this paper). We propose a novel integral equation
Haiwen Zhang, Bo Zhang
semanticscholar   +1 more source

On a second-order integro-differential equation with difference kernels and power nonlinearity [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
The article studies a second-order integro-differential equation with difference kernels and power nonlinearity. A connection is established between this equation and an integral equation of the convolution type, which arises when describing the ...
S.N. Askhabov
doaj   +2 more sources

To the solution of one pseudo-Volterra integral equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
In this paper, we study a homogeneous singular integral Volterra equation of the second kind (pseudoVolterra integral equation). The singularity of the integral equation is shown. Properties of its kernel are proved.
M.T. Jenaliyev   +3 more
doaj   +1 more source

Computation of semi-analytical solutions of fuzzy nonlinear integral equations

open access: yesAdvances in Difference Equations, 2020
In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A
Zia Ullah   +3 more
doaj   +1 more source

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