Variable Shape Parameter Strategy in Local Radial Basis Functions Collocation Method for Solving the 2D Nonlinear Coupled Burgers’ Equations

Hananeh Nojavan; Saeid Abbasbandy; Tofigh Allahviranloo

doi:10.3390/math5030038

Variable Shape Parameter Strategy in Local Radial Basis Functions Collocation Method for Solving the 2D Nonlinear Coupled Burgers’ Equations

Mathematics ◽

10.3390/math5030038 ◽

2017 ◽

Vol 5 (3) ◽

pp. 38 ◽

Cited By ~ 2

Author(s):

Hananeh Nojavan ◽

Saeid Abbasbandy ◽

Tofigh Allahviranloo

Keyword(s):

Collocation Method ◽

Radial Basis Functions ◽

Shape Parameter ◽

Basis Functions ◽

Burgers Equations ◽

Variable Shape ◽

Radial Basis

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Collocation method based on shifted Chebyshev and radial basis functions with symmetric variable shape parameter for solving the parabolic inverse problem

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2018.1462355 ◽

2018 ◽

Vol 27 (3) ◽

pp. 369-387

Author(s):

Mojtaba Ranjbar ◽

Mansour Aghazadeh

Keyword(s):

Inverse Problem ◽

Collocation Method ◽

Radial Basis Functions ◽

Shape Parameter ◽

Basis Functions ◽

Variable Shape ◽

Radial Basis ◽

Symmetric Variable

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Energy based approach for shape parameter selection in radial basis functions collocation method

Composite Structures ◽

10.1016/j.compstruct.2013.07.041 ◽

2014 ◽

Vol 107 ◽

pp. 70-78 ◽

Cited By ~ 9

Author(s):

L. Iurlaro ◽

M. Gherlone ◽

M. Di Sciuva

Keyword(s):

Collocation Method ◽

Radial Basis Functions ◽

Shape Parameter ◽

Parameter Selection ◽

Basis Functions ◽

Radial Basis

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A novel algorithm for shape parameter selection in radial basis functions collocation method

Composite Structures ◽

10.1016/j.compstruct.2011.08.001 ◽

2012 ◽

Vol 94 (2) ◽

pp. 453-461 ◽

Cited By ~ 21

Author(s):

M. Gherlone ◽

L. Iurlaro ◽

M. Di Sciuva

Keyword(s):

Collocation Method ◽

Radial Basis Functions ◽

Shape Parameter ◽

Parameter Selection ◽

Basis Functions ◽

Radial Basis ◽

Novel Algorithm

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On the new variable shape parameter strategies for radial basis functions

Computational and Applied Mathematics ◽

10.1007/s40314-014-0132-0 ◽

2014 ◽

Vol 34 (2) ◽

pp. 691-704 ◽

Cited By ~ 23

Author(s):

Ahmad Golbabai ◽

Ehsan Mohebianfar ◽

Hamed Rabiei

Keyword(s):

Radial Basis Functions ◽

Shape Parameter ◽

Basis Functions ◽

Variable Shape ◽

Radial Basis

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Interpolation using Gaussian radial basis functions with optimized shape parameter applied in vertical deformation analysis

Geodesy and Geodynamics ◽

10.1016/j.geog.2021.02.004 ◽

2021 ◽

Author(s):

M.A. Khalili ◽

B. Voosoghi

Keyword(s):

Radial Basis Functions ◽

Shape Parameter ◽

Basis Functions ◽

Deformation Analysis ◽

Vertical Deformation ◽

Radial Basis

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A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.07.073 ◽

2017 ◽

Vol 315 ◽

pp. 424-444 ◽

Cited By ~ 5

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Radial Basis

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A Meshless Collocation Method Based on Radial Basis Functions and Wavelets

IEEE Transactions on Magnetics ◽

10.1109/tmag.2004.824778 ◽

2004 ◽

Vol 40 (2) ◽

pp. 1021-1024 ◽

Cited By ~ 26

Author(s):

S.L. Ho ◽

S. Yang ◽

H.C. Wong ◽

G. Ni

Keyword(s):

Collocation Method ◽

Radial Basis Functions ◽

Basis Functions ◽

Radial Basis ◽

Meshless Collocation

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Application of variational mesh generation approach for selecting centers of radial basis functions collocation method

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2013.09.007 ◽

2013 ◽

Vol 37 (12) ◽

pp. 1567-1575 ◽

Cited By ~ 2

Author(s):

M. Barfeie ◽

Ali R. Soheili ◽

Maryam Arab Ameri

Keyword(s):

Collocation Method ◽

Radial Basis Functions ◽

Mesh Generation ◽

Basis Functions ◽

Radial Basis

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On the numerical solution of fractional stochastic integro-differential equations via meshless discrete collocation method based on radial basis functions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2018.05.006 ◽

2019 ◽

Vol 100 ◽

pp. 246-255 ◽

Cited By ~ 19

Author(s):

Farshid Mirzaee ◽

Nasrin Samadyar

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Collocation Method ◽

Radial Basis Functions ◽

Basis Functions ◽

Radial Basis

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Direct collocation method for identifying the initial conditions in the inverse wave problem using radial basis functions

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2018.1428968 ◽

2018 ◽

Vol 26 (12) ◽

pp. 1695-1727 ◽

Cited By ~ 9

Author(s):

Lihua Wang ◽

Zhen Wang ◽

Zhihao Qian ◽

Yukui Gao ◽

Yueting Zhou

Keyword(s):

Collocation Method ◽

Radial Basis Functions ◽

Initial Conditions ◽

Basis Functions ◽

Wave Problem ◽

Direct Collocation ◽

Radial Basis ◽

Direct Collocation Method

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