The effect of near-zone preconditioning on electromagnetic integral equations of first and second kind [PDF]
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
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The Modified Integral Transform Method to Solve Heat Equation in a Cylindrical Coordinate [PDF]
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
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Numerical solution of the integral form of the resummed Balitsky-Kovchegov equation [PDF]
The Balitsky--Kovchegov (BK) evolution equation in its resummed integral form as obtained in JHEP 1202 (2012) 117 and arXiv:1206.1223 is considered. We solve it numerically and compare to the unresummed BK equation formulated as an integral equation and ...
Kutak, Krzysztof +2 more
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A New Integral Transform for Solving Integral and Ordinary Differential Equations [PDF]
In this research paper, we introduce a new transform belonging to the class of Laplace transforms, called the Yasser-Jassim Transform (YJ Transform). We explore its properties and compare it to the classical Laplace transform.
Mohammed Yasser, Hassan Jassim
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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.
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New integral equation approach to solution of diffusion equation
The paper concerns the theoretical derivation of a new formulation for solution of the initial-boundary value problems for the diffusion equation. The global and local integral equations are derived by using the fundamental solution for the Laplace ...
Vladimίr Sladek +2 more
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Multimode network representation of two dimensional steps in rectangular waveguides [PDF]
In this paper a new Multimode Network representation for arbitrary rectangular waveguide junctions is presented. The energy coupling between the higher order modes excited in the junction is rigorously described via a multimode impedance matrix ...
Guglielmi, Marco +1 more
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On the Integral Equation Arising in the Biological Model After the Power-3 Closure
This article is devoted to the nonlinear integral equation arising in the biological model of Ulf Dieckmann and Richard Low. A brief review of the model of foreign authors Individual-based model is made, the meaning and necessity of introducing spatial ...
Serafim R. Gadzhiev, Alexey A. Nikitin
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Legendre wavelets technique for special Initial-Value problem for the quarter plain of heat transfer [PDF]
In this paper we have solved the heat transfer equation by means of the Volterra integral equation and Legendre Wavelets. Since, due to numerical facts, solution of the related partial differential equation is difficult, thus we have applied integral ...
Bahman Babayar-Razlighi, Mehdi Solaimani
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Shear viscosity in $\phi^4$ theory from an extended ladder resummation
We study shear viscosity in weakly coupled hot $\phi^4$ theory using the CTP formalism . We show that the viscosity can be obtained as the integral of a three-point function.
A. Hosoya +29 more
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