Radial Basis Functions Collocation Method for Numerical Solution of Coupled Burgers’ and Korteweg-de Vries Equations of Fractional Order

Iranian Journal of Science and Technology Transactions A Science ◽

10.1007/s40995-021-01065-9 ◽

2021 ◽

Vol 45 (2) ◽

pp. 707-725

Author(s):

Manzoor Hussain ◽

Sirajul Haq

Keyword(s):

Numerical Solution ◽

Collocation Method ◽

Radial Basis Functions ◽

Fractional Order ◽

Basis Functions ◽

De Vries ◽

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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 ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

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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 ◽

Author(s):

Farshid Mirzaee ◽

Nasrin Samadyar

Keyword(s):

Differential Equations ◽

Numerical Solution ◽

Collocation Method ◽

Radial Basis Functions ◽

Basis Functions ◽

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Numerical solution of fuzzy linear Volterra-Fredholm-Hammerestein integral equations via collocation method based on radial basis functions

Journal of Fuzzy Set Valued Analysis ◽

10.5899/2014/jfsva-00201 ◽

2014 ◽

Vol 2014 ◽

pp. 1-10

Author(s):

Z. Mosayebi

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Radial Basis Functions ◽

Basis Functions ◽

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Numerical solution of an inverse reaction–diffusion problem via collocation method based on radial basis functions

Applied Mathematical Modelling ◽

10.1016/j.apm.2014.11.062 ◽

2015 ◽

Vol 39 (13) ◽

pp. 3733-3744 ◽

Author(s):

F. Parzlivand ◽

A.M. Shahrezaee

Keyword(s):

Numerical Solution ◽

Collocation Method ◽

Radial Basis Functions ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Basis Functions ◽

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Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method

Applied Mathematical Modelling ◽

10.1016/j.apm.2013.03.054 ◽

2013 ◽

Vol 37 (18-19) ◽

pp. 8578-8599 ◽

Author(s):

Mehdi Dehghan ◽

Ahmad Nikpour

Keyword(s):

Numerical Solution ◽

Boundary Value Problems ◽

Collocation Method ◽

Radial Basis Functions ◽

Boundary Value ◽

Second Order ◽

Differential Quadrature ◽

Basis Functions ◽

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Numerical solution of nonlinear Volterra–Fredholm–Hammerstein integral equations via collocation method based on radial basis functions

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.11.013 ◽

2012 ◽

Vol 218 (9) ◽

pp. 5292-5309 ◽

Author(s):

K. Parand ◽

J.A. Rad

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Radial Basis Functions ◽

Basis Functions ◽

Hammerstein Integral Equations ◽

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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 ◽

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 ◽

Author(s):

M. Barfeie ◽

Ali R. Soheili ◽

Maryam Arab Ameri

Keyword(s):

Collocation Method ◽

Radial Basis Functions ◽

Mesh Generation ◽

Basis Functions ◽

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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 ◽

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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A local collocation method with radial basis functions for an electrospinning problem

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2021.10.013 ◽

2022 ◽

Vol 134 ◽

pp. 398-411

Author(s):

W.F. Florez ◽

V. Popov ◽

J.P. Gaviria-Cardona ◽

C.A. Bustamante ◽

H.V. Martínez-Tejada ◽

...

Keyword(s):

Collocation Method ◽

Radial Basis Functions ◽

Basis Functions ◽

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