Results 21 to 30 of about 5,388,871 (377)
Path Integral for the Dirac Equation [PDF]
, 1998 A c-number path integral representation is constructed for the solution of the Dirac equation. The integration is over the real trajectories in the continuous three-space and other two canonical pairs of compact variables controlling the spin and the ...
Polonyi, Janos
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Distribution theory for Schr\"odinger's integral equation [PDF]
, 2015 Much of the literature on point interactions in quantum mechanics has focused on the differential form of Schr\"odinger's equation. This paper, in contrast, investigates the integral form of Schr\"odinger's equation.
Albeverio S. +8 more
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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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Numerical solution of the integral form of the resummed Balitsky-Kovchegov equation [PDF]
, 2013 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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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
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An approximation method for the solution of nonlinear integral equations [PDF]
, 2006 A Chebyshev collocation method has been presented to solve nonlinear integral equations in terms of Chebyshev polynomials. This method transforms the integral equation to a matrix equation which corresponds to a system of nonlinear algebraic equations ...
Akyuz-Dascioglu, A, Yaslan, HC
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Integral equation mei applied to three-dimensional arbitrary surfaces [PDF]
, 1997 The authors present a new formulation of the integral equation of the measured equation of invariance (MEI) as a confined field integral equation discretised by the method of moments, in which the use of numerically derived testing functions results in ...
Mosig, J R +3 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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