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A local radial basis function differential quadrature semi-discretisation technique for the simulation of time-dependent reaction-diffusion problems

Engineering Computations, 2021
Purpose This paper aims to develop a meshfree algorithm based on local radial basis functions (RBFs) combined with the differential quadrature (DQ) method to provide numerical approximations of the solutions of time-dependent, nonlinear and spatially one-dimensional reaction-diffusion systems and to capture their evolving patterns.
Ram Jiwari, Alf Gerisch
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Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations

Journal of Computational Physics, 1972
Abstract The numerical solution of nonlinear partial differential equations plays a prominent role in numerical weather forecasting, optimal control theory, radiative transfer, and many other areas of physics, engineering, and biology. In many cases all that is desired is a moderately accurate solution at a few points which can be calculated rapidly.
Bellman, Richard   +2 more
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INTERPOLATION TECHNIQUES FOR SCATTERED DATA BY LOCAL RADIAL BASIS FUNCTION DIFFERENTIAL QUADRATURE METHOD

International Journal of Computational Methods, 2013
Interpolation techniques based on the local radial basis function differential quadrature (LRBF-DQ) method are proposed to interpolate the field values with arbitrarily given scattered data. The interpolation of more unknown field data from the limited known data is becoming an important research subject nowadays for the large-scale engineering ...
Chan, Y. L.   +3 more
openaire   +1 more source

Simulation of activator–inhibitor dynamics based on cross-diffusion Brusselator reaction–diffusion system via a differential quadrature-radial point interpolation method (DQ-RPIM) technique

The European Physical Journal Plus, 2021
The current paper proposes an efficient numerical procedure for solving the two-dimensional Brusselator reaction–diffusion system. First, the time derivative is discretized by a semi-implicit finite difference scheme such that the nonlinear terms are approximated by using one term of the Taylor expansion.
Mostafa Abbaszadeh   +2 more
openaire   +1 more source

Finite difference discretizations by differential quadrature techniques

Communications in Numerical Methods in Engineering, 1999
The author proposes procedures for developing a finite difference method discretization by using differential quadrature and generic differential quadrature methods. The proposed method uses weighting coefficients for differential quadrature. Generic differential quadrature derivation of finite difference operators is studied, too. One-, two- and three-
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A coupled integral–differential quadrature and B-spline-based multi-step technique for transient analysis of VSCL plates

Acta Mechanica, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heydarpour, Y., Aghdam, M. M.
openaire   +1 more source

Approximate solution of nonlinear fractional order model of HIV infection of CD4+T via Differential Quadrature Radial Basis Functions technique

2021
In this research, differential quadrature radial basis functions Method is performed to a fractional order model of HIV infection of CD4+T. Here, Caputo fractional derivative is used and it is approximated by forward finite difference method. Results have been compared with the results of Laplace Adomian decomposition method (LADM), Laplace Adomian ...
Chalambari, Kokab   +2 more
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Differential quadrature–layerwise modeling technique for three-dimensional analysis of cross-ply laminated plates of various edge-supports

Computer Methods in Applied Mechanics and Engineering, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liew, K. M., Ng, T. Y., Zhang, Jordan Z.
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A comparative study of differential quadrature and cubature methods vis-à-vis some conventional techniques in context of convection-diffusion-reaction problems

Chemical Engineering Science, 1995
Abstract This paper presents a comprehensive comparative study of the differential quadrature and cubature methods in relation to the conventional techniques of the finite difference and finite element methods. The basis of comparison is the numerical accuracy and the computational efficiency in terms of CPU time.
Moinuddin Malik, Faruk Civan
openaire   +1 more source

86-Gbit/s differential quadrature phase-shift-keying modulator using hybrid assembly technique with planar lightwave circuit and LiNbO3 devices

2006 IEEE LEOS Annual Meeting Conference Proceedings, 2006
We developed an 86-Gbit/s DQPSK modulator by using four arrayed optical phase modulators with an LN waveguide and two 1times4 coupler PLCs by adopting the WFM technique.
Takashi Yamada   +5 more
openaire   +1 more source

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