Results 11 to 20 of about 4,406,486 (167)
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
doaj +3 more sources
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
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
, 1997 We present a new integral equation formulation of the polarizable continuum model (PCM) which allows one to treat in a single approach dielectrics of different nature: standard isotropic liquids, intrinsically anisotropic medialike liquid crystals and ...
É. Cancès, B. Mennucci, J. Tomasi
semanticscholar +1 more source
General functional-integral Volterra equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2007 We research the one-valued solvability of the integral Volterra equation of general type with given initial condition. The theorem on the existence and uniqueness of continuous solution, which satisfies the Lipschitz condition on the considered interval ...
T. K. Yuldashev, Zh. A. Artykova
doaj +1 more source
A Multilevel Iteration Method for Solving a Coupled Integral Equation Model in Image Restoration
Mathematics, 2020 The problem of out-of-focus image restoration can be modeled as an ill-posed integral equation, which can be regularized as a second kind of equation using the Tikhonov method.
Hongqi Yang, Bing Zhou
doaj +1 more source
Demonstratio Mathematica, 2021 In this work, we study the existence of one and exactly one solution x∈C[0,1]x\in C\left[0,1], for a delay quadratic integral equation of Volterra-Stieltjes type.
El-Sayed Ahmed M. A., Omar Yasmin M. Y.
doaj +1 more source
The Modified Integral Transform Method to Solve Heat Equation in a Cylindrical Coordinate [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2021 This paper investigated a modified integral transform method used to solve heat equation in cylindrical coordinate, this modification method has been obtained based on integral transform (x-coordinate), we expand integral transform (x ...
Ahmed Jalal, Ahmed Jassim
doaj +1 more source
The effect of near-zone preconditioning on electromagnetic integral equations of first and second kind [PDF]
Advances in Radio Science, 2013 The linear equation systems which arise from the discretization of surface integral equations are conveniently solved with iterative methods because of the possibility to employ fast integral methods like the Multilevel Fast Multipole Method.
O. Wiedenmann, T. F. Eibert
doaj +1 more source