Results 231 to 240 of about 1,282,583 (256)
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Discrete singular convolution mapping methods for solving singular boundary value and boundary layer problems

The European Physical Journal Plus, 2017
A modified discrete singular convolution method is proposed. The method is based on the single (SE) and double (DE) exponential transformation to speed up the convergence of the existing methods. Numerical computations are performed on a wide variety of singular boundary value and singular perturbed problems in one and two dimensions.
Edson Pindza, Eben Maré
openaire   +1 more source

Comparison of the Discrete Singular Convolution and Three Other Numerical Schemes for Solving Fisher's Equation

SIAM Journal on Scientific Computing, 2003
In this paper, a discrete singular convolution (DSC) algorithm is introduced to solve Fisher's equation, to which obtaining an accurate and reliable traveling wave solution is a challenging numerical problem. Two novel numerical treatments, a moving frame scheme and a new asymptotic scheme, are designed to overcome the subtle difficulties involved in ...
Shan Zhao 0001, Guo-Wei Wei 0001
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Discrete singular convolution for fourth-order multi-term time fractional equation

Tbilisi Mathematical Journal, 2021
This paper studies the fourth-order problem with multi-term time fractional integral operator under simply supported type conditions. We first introduce a novel computational approach, the discrete singular convolution (DSC) algorithm, for analyzing this problem.
Liu, Xingguo   +3 more
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Discrete singular convolution method for buckling analysis of rectangular Mindlin plates

The IES Journal Part A: Civil & Structural Engineering, 2009
The discrete singular convolution (DSC) method is proposed for solving the elastic buckling problem of thick rectangular plates under a uniaxial compressive loading. To allow for the effect of transverse shear deformation in thick plates, the Mindlin plate theory has been adopted. The numerical results are checked against available analytical and other
H. Ersoy, Ö. Civalek, M. Gürses
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Free vibration analyses of Timoshenko beams with free edges by using the discrete singular convolution

Advances in Engineering Software, 2011
The free vibration analysis of Timoshenko beams with various combinations of boundary conditions are performed by using the discrete singular convolution (DSC). Since Timoshenko beams with clamped-free, pinned-free, slide-free, and free-free boundaries have not been successfully solved by using the DSC thus far, the main objective of the present paper ...
Suming Xu, Xinwei Wang 0004
openaire   +3 more sources

Elastic Wavefield Modeling by the Symplectic Discrete Singular Convolution Differentiator Method

Chinese Journal of Geophysics, 2012
AbstractIn this paper, we introduce a structure‐preserving method based on the symplectic discrete singular convolution differentiator (SDSCD) for simulating elastic wave fields. In the method presented for solving elastic wave equations, physical space is discretized by the singular convolution differentiator, whereas a symplectic difference scheme is
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Recursive update-discrete singular convolution method for modeling highly resonant structures

2011 IEEE International Symposium on Antennas and Propagation (APSURSI), 2011
This paper presents a new frequency-domain technique for modeling highly resonant structures. A recursive update (RU) scheme is adopted to solve Maxwell's equations. The discrete singular convolution (DSC) method is applied to discretize the curl operators in Maxwell's equations, and a regularization technique is utilized to treat arbitrarily oriented ...
null Huapeng Zhao, null Zhongxiang Shen
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Two classes of linear equations of discrete convolution type with harmonic singular operators

Complex Variables and Elliptic Equations, 2015
In this paper, we investigate two classes of linear equations of discrete convolution type with harmonic singular operator. Using the Laurent transform theory, we turn the above linear equations into Riemann boundary value problems. Then, the solutions of the equations are obtained in the class of Holder continuous functions.
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A NEW BENCHMARK QUALITY SOLUTION FOR THE BUOYANCY-DRIVEN CAVITY BY DISCRETE SINGULAR CONVOLUTION

Numerical Heat Transfer, Part B: Fundamentals, 2001
This article introduces a high-accuracy discrete singular convolution (DSC) for the numerical simulation of coupled convective heat transfer problems. The problem of a buoyancy-driven cavity is solved by two completely independent numerical procedures.
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DISCRETE SINGULAR CONVOLUTION FOR PLATE VIBRATION ANALYSIS

Structural Stability and Dynamics, 2002
G. W. Wei, Y. B. Zhao, Y. Xiang
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