Results 21 to 30 of about 150,190 (315)
On a pseudo-Volterra nonhomogeneous integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper the issues of the solvability of a pseudo-Volterra nonhomogeneous integral equation of the second kind are studied. The solution to the corresponding homogeneous equation and the classes of the uniqueness of the solution are found in [1 ...
M.T. Kosmakova +3 more
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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
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CoRR, 2022 16 + 26 pages, 18 figures and 10 tables. v5: Some additional experiments have been performed, some explanations and reference added. Article published on Nature Machine Intelligence with the more descriptive title: "Learning integral operators via neural integral equations"
Zappala, Emanuele +6 more
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A New Integral Transform for Solving Integral and Ordinary Differential Equations [PDF]
Mathematics and Computational SciencesIn 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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New integral equation approach to solution of diffusion equation
Computer Assisted Methods in Engineering and Science, 2023 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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On the Integral Equation Arising in the Biological Model After the Power-3 Closure
Современные информационные технологии и IT-образование, 2019 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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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.
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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
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Legendre wavelets technique for special Initial-Value problem for the quarter plain of heat transfer [PDF]
Mathematics and Computational Sciences, 2020 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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