Results 211 to 220 of about 850,977 (257)

Discrete singular convolution for the sine-Gordon equation

Physica D: Nonlinear Phenomena, 2000
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G W Wei
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Comparison of the Discrete Singular Convolution and Three Other Numerical Schemes for Solving Fisher's Equation

SIAM Journal on Scientific Computing, 2003
Fisher's equation represents the evolution of the population due to the two competing physical processes, diffusion and nonlinear local multiplication. From mathematical point of wiev it is a one-dimensional nonlinear parabolic partial differential equation of the form \[ {\partial u \over \partial t}= \mu { \partial^2 u \over \partial x^2} +\rho u(1-u)
Shan Zhao 0001, Guo-Wei Wei 0001
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Some classes of equations of discrete type with harmonic singular operator and convolution

Applied Mathematics and Computation, 2016
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Pingrun Li, Guangbin Ren
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Discrete singular convolution method for the analysis of Mindlin plates on elastic foundations

International Journal of Pressure Vessels and Piping, 2007
The method of discrete singular convolution (DSC) is used for the bending analysis of Mindlin plates on two-parameter elastic foundations for the first time. Two different realizations of singular kernels, such as the regularized Shannon's delta (RSD) kernel and Lagrange delta sequence (LDS) kernel, are selected as singular convolution to illustrate ...
Ömer Civalek, Mustafa Hilmi Acar
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FREE VIBRATION OF KIRCHHOFF PLATES WITH SECTOR SHAPES BY THE METHOD OF DISCRETE SINGULAR CONVOLUTION

International Journal of Computational Methods, 2010
The free vibration of sector plates based on the classical Kirchhoff plate theory is analyzed by the method of discrete singular convolution using the Regularized Shannon delta (RSD) kernel. This method is applied to sector plates with a combination of boundary conditions, and the natural frequencies are calculated.
Gürses, M., Kuzu, E., Cívalek, Ö.
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A novel scheme for the discrete prediction of high-frequency vibration response: Discrete singular convolution–mode superposition approach

Journal of Sound and Vibration, 2009
Abstract This study introduces a novel scheme for the discrete high-frequency forced vibration analysis based on discrete singular convolution (DSC) and mode superposition (MS) approaches. The accuracy of the DSC–MS is validated for thin beams and plates by comparing with available analytical solutions.
Seçgin, Abdullah, Sarıgül, Ayşe Saide   +1 more
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Discrete Singular Convolution Method for Free Vibration Analysis of Tapered Rectangular Plates [PDF]

, 2008
Discrete Singular Convolution (DSC) method has been proposed to obtain frequencies of tapered rectangular plates. Regularized Shannon's Delta (RSD) kernel is selected as a singular convolution to illustrate the present algorithm. In the proposed approach, the derivatives in both the governing equations and the boundary conditions are discretized by the
Civalek, Oemer, Oeztuerk, Baki
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Option valuation by using discrete singular convolution

Applied Mathematics and Computation, 2005
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Shan Zhao 0001, Guo-Wei Wei 0001
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Numerical solution of incompressible flows by discrete singular convolution

International Journal for Numerical Methods in Fluids, 2002
AbstractA discrete singular convolution (DSC) solver is developed for treating incompressible flows. Three different two‐dimensional benchmark problems, the Taylor problem, the driven cavity flow, and a periodic shear layer flow, are utilized to test the accuracy, to explore the reliability and to demonstrate the efficiency of the present approach ...
Wan, D.C., Zhou, Y.C., Wei, G.W.
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Adaptive discretization of an integro-differential equation with a weakly singular convolution kernel

Computer Methods in Applied Mechanics and Engineering, 2003
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Adolfsson, Klas, Enelund, Mikael, Larsson, Stig   +2 more
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