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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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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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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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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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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
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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
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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
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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
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Finite difference discretizations by differential quadrature techniques
Communications in Numerical Methods in Engineering, 1999The 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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Acta Mechanica, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heydarpour, Y., Aghdam, M. M.
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Heydarpour, Y., Aghdam, M. M.
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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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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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Computer Methods in Applied Mechanics and Engineering, 2002
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Liew, K. M., Ng, T. Y., Zhang, Jordan Z.
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Liew, K. M., Ng, T. Y., Zhang, Jordan Z.
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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
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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
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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
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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
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