Results 1 to 10 of about 5,360,556 (378)
The Lamb-Bateman integral equation and the fractional derivatives [PDF]
, 2010 The Lamb-Bateman integral equation was introduced to study the solitary wave diffraction and its solution was written in terms of an integral transform. We prove that it is essentially the Abel integral equation and its solution can be obtained using the
D. Babusci, G. Dattoli, D. Sacchetti
openalex +3 more sources
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.
Mortaza Gachpazan, Omid Baghani
doaj +3 more sources
Fredholm-Volterra integral equation with potential kernel [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L2(Ω)×C(0,T), Ω={(x,y):x2+y2≤a}, z=0, and ...
M. A. Abdou, A. A. El-Bary
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source
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
semanticscholar +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source