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Hyers-Ulam Stability of Nonlinear Integral Equation
Fixed 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
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The Solution of Generalization of the First and Second Kind of Abel’s Integral Equation
JTAM (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
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Solving Volterra-Fredholm integral equations by natural cubic spline function
Қарағанды 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
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Combined Field Integral Equation-Based Theory of Characteristic Mode [PDF]
IEEE 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
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Boundary Integral Equation Methods for the Two-Dimensional Fluid-Solid Interaction Problem [PDF]
SIAM 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
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Integral Operators of Mixed Type of Nonlinear Integral Equation [PDF]
مجلة 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
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A Novel Integral Equation for Scattering by Locally Rough Surfaces and Application to the Inverse Problem [PDF]
SIAM 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
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To the solution of one pseudo-Volterra integral equation
Қарағанды 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
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Nonlinear Integral-Equation Formulation of Orthogonal Polynomials [PDF]
, 2006 The nonlinear integral equation P(x)=\int_alpha^beta dy w(y) P(y) P(x+y) is investigated. It is shown that for a given function w(x) the equation admits an infinite set of polynomial solutions P(x).
Abramowitz M +6 more
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Solving one pseudo-Volterra integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper, we study the solvability of a second - kind pseudo-Volterra integral equation. By replacing the right - hand side and the unknown function, the integral equation is reduced to an integral equation, the kernel of which is not «compressible»
M.T. Kosmakova +4 more
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