Results 21 to 30 of about 1,350,797 (265)

A New Integral Transform for Solving Integral and Ordinary Differential Equations [PDF]

Mathematics and Computational Sciences
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
doaj   +1 more source

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., Albeverio S., Albeverio S., Behrndt J., Brasche J., Feynman R. P., Golovaty Y., Rutger-Jan Lange, Schulman L. S.   +8 more
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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, Ján Sladek, Roger van Keer   +2 more
doaj  

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, Placzek, Wieslaw, Toton, Dawid   +2 more
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A Grassmann integral equation

, 2003
The present study introduces and investigates a new type of equation which is called Grassmann integral equation in analogy to integral equations studied in real analysis. A Grassmann integral equation is an equation which involves Grassmann integrations
Aczél J., Anschuetz R., Argyres A. N., Babbage C., Babbage C., Banerjee P. P., Barnabei M., Barndorff-Nielsen O., Barnes A., Barnes T., Bender C. M., Bender C. M., Bender C. M., Caianiello E. R., Caola M. J., Charret I. C., Cheng R., Dams C., de Dominicis C., de Filippo S., Doetsch G., Dolan S., Dosch H. G., Dosch H. G., Euler R., Falconer K. J., Floreanini R., Frydryszak A., Goldberg H., Hamedani G. G., Hamedani G. G., Hardy G. H., Hardy G. H., Hotelling H., Häußling R., Jacobi C. G. J., K. Scharnhorst, Kainz W., Kapuścik E., Karczmarczuk J., Kerler W., Klauder J. R., Kleinert P., Knyazev A. G., Kotecký R., Laitoch M., Laue G., Lawson J. W., Lovely R. M., Lukacs E., Lukacs E., Lévy P., Malbouisson A. P. C., Marcus M., Marinaro M., Massera J. L., McCarthy P. J., McCarthy P. J., McCarthy P. J., McCarthy P. J., Mehrotra B. M., Nosratinia A., Okopińska A., Patrascioiu A., Pestana D., Pierce W. E., Prokhorov L. V., Prokhorov L. V., Rossberg H.-J., Rossberg H.-J., Scarpetta G., Scharnhorst K., Schladitz K., Schladitz K., Schwerdtfeger H., Teugels J. L., Ullah N., Vivier M.   +77 more
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An integral equation method for a boundary value problem arising in unsteady water wave problems [PDF]

, 2008
In this paper we consider the 2D Dirichlet boundary value problem for Laplace’s equation in a non-locally perturbed half-plane, with data in the space of bounded and continuous functions.
Chamberlain, P. G, Chandler-Wilde, S. N., Preston, M. D.   +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
doaj   +1 more source

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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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

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
doaj   +1 more source