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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A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.11.020 ◽

2018 ◽

Vol 333 ◽

pp. 362-381 ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Approximate Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Galerkin Scheme ◽

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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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A numerical method based on boundary integral equations and radial basis functions for plane anisotropic thermoelastostatic equations with general variable coefficients

Applied Mathematics and Mechanics ◽

10.1007/s10483-020-2592-8 ◽

2020 ◽

Vol 41 (4) ◽

pp. 551-566 ◽

Author(s):

W. T. Ang ◽

X. Wang

Keyword(s):

Numerical Method ◽

Integral Equations ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Variable Coefficients ◽

Boundary Integral ◽

Basis Functions ◽

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Boundary integral equations on the sphere with radial basis functions: error analysis

Applied Numerical Mathematics ◽

10.1016/j.apnum.2008.12.033 ◽

2009 ◽

Vol 59 (11) ◽

pp. 2857-2871 ◽

Author(s):

T. Tran ◽

Q.T. Le Gia ◽

I.H. Sloan ◽

E.P. Stephan

Keyword(s):

Error Analysis ◽

Integral Equations ◽

Radial Basis Functions ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

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A meshless method based on boundary integral equations and radial basis functions for biharmonic-type problems

Applied Mathematical Modelling ◽

10.1016/j.apm.2010.07.030 ◽

2011 ◽

Vol 35 (2) ◽

pp. 737-751 ◽

Author(s):

Xiaolin Li ◽

Jialin Zhu ◽

Shougui Zhang

Keyword(s):

Integral Equations ◽

Radial Basis Functions ◽

Meshless Method ◽

Boundary Integral Equations ◽

Boundary Integral ◽

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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Computation of 3-D Sensitivity Coefficients in Magnetic Induction Tomography Using Boundary Integral Equations and Radial Basis Functions

IEEE Transactions on Magnetics ◽

10.1109/tmag.2008.2001989 ◽

2008 ◽

Vol 44 (10) ◽

pp. 2268-2276 ◽

Author(s):

M.H. Pham ◽

A.J. Peyton

Keyword(s):

Integral Equations ◽

Radial Basis Functions ◽

Magnetic Induction ◽

Boundary Integral Equations ◽

Boundary Integral ◽

Basis Functions ◽

Sensitivity Coefficients ◽

Radial Basis ◽

Magnetic Induction Tomography

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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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On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0050 ◽

2019 ◽

Vol 11 (4) ◽

pp. 807-837 ◽

Author(s):

global sci

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Collocation Method ◽

Boundary Integral Equations ◽

Boundary Integral

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A meshless method for the numerical solution of nonlinear weakly singular integral equations using radial basis functions

The European Physical Journal Plus ◽

10.1140/epjp/i2017-11467-y ◽

2017 ◽

Vol 132 (5) ◽

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Singular Integral ◽

Meshless Method ◽

Singular Integral Equations ◽

Basis Functions ◽

Weakly Singular ◽

Radial Basis ◽

Weakly Singular Integral Equations

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