An Improved Differential Quadrature Time Element Method
Applied Sciences, 2017 A Differential Quadrature Time Element Method (DQTEM) was proposed by the author and co-worker, its drawback is the need of larger storage capacity since the dimension of the coefficients matrix for solution is the product of both spatial degrees of ...
Mingbo Qin, Yufeng Xing, Jing Guo
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Solving 2D-Poisson equation using modified cubic B-spline differential quadrature method
Ain Shams Engineering Journal, 2018 In this study a modified cubic B-spline differential quadrature method (MCBDQM) is used to solve the two dimensional Poisson equation. Using the cubic B-spline functions, explicit expressions of weighting coefficients for approximation of derivatives are
Ahmed M. Elsherbeny +3 more
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Solving 2D-wave problems by the iterative differential quadrature method [PDF]
International Journal of Computer Mathematics, 2011 In this paper, the numerical stability of an iterative method based on differential quadrature (DQ) rules when applied to solve a two--dimensional (2D) wave problem is discussed. The physical model of a vibrating membrane, with different initial conditions, is considered.
S. Tomasiello +2 more
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Distributed Approximating Functional Approach to Burgers’ Equation using Element Differential Quadrature Method [PDF]
Journal of Applied Sciences and Environmental Management, 2013 This paper presents a computationally efficient and an accurate methodology in differential quadrature element method (EDQM) analysis of the nonlinear one-dimensional Burgers’ equation.
M Vaghefi +3 more
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The method of differential quadrature for transient nonlinear diffusion [PDF]
Journal of Mathematical Analysis and Applications, 1977 AbstractNumerical solutions to transient nonlinear diffusion problems are obtained by the method of differential quadrature. The accuracy of the solutions is inferred by comparison with the analytical solution for the linear case. The particular problems associated with general boundary conditions are handled by the use of integral methods.
Mingle, John O
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One step multiderivative methods for first order ordinary differential equations [PDF]
, 1981 A family of one-step multiderivative methods based on Padé approximants to the exponential function is developed. The methods are extrapolated and analysed for use in PECE mode.
E. H. Twizell +3 more
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Numerical quadrature methods for singular and nearly singular integrals [PDF]
, 2001 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis is concerned with the development, design, and analysis of simple and efficient numerical quadrature methods for integrals on finite intervals ...
Chunrungsikul, Sumlearng
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Generalized Differential Quadrature Finite Element Method applied to Advanced Structural Mechanics [PDF]
, 2013 Over the years the Differential Quadrature (DQ) method has distinguished because of its high accuracy, straightforward implementation and general ap- plication to a variety of problems.
Fantuzzi, Nicholas <1984>
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Design of quadrature rules for Müntz and Müntz-logarithmic polynomials using monomial transformation [PDF]
, 2009 A method for constructing the exact quadratures for Müntz and Müntz-logarithmic polynomials is presented. The algorithm does permit to anticipate the precision (machine precision) of the numerical integration of Müntz-logarithmic polynomials in terms of ...
Lombardi, Guido
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Finite Element Quadrature of Regularized Discontinuous and Singular Level Set Functions in 3D Problems [PDF]
, 2012 Regularized Heaviside and Dirac delta function are used in several fields of computational physics and mechanics. Hence the issue of the quadrature of integrals of discontinuous and singular functions arises.
PONARA, Nicola +9 more
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