The numerical solution of nonlinear high dimensional generalized Benjamin–Bona–Mahony–Burgers equation via the meshless method of radial basis functions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.05.019 ◽

2014 ◽

Vol 68 (3) ◽

pp. 212-237 ◽

Author(s):

Mehdi Dehghan ◽

Mostafa Abbaszadeh ◽

Akbar Mohebbi

Keyword(s):

Numerical Solution ◽

Radial Basis Functions ◽

Meshless Method ◽

Burgers Equation ◽

Basis Functions ◽

High Dimensional ◽

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A meshless method using radial basis functions for numerical solution of the two-dimensional KdV-Burgers equation

The European Physical Journal Plus ◽

10.1140/epjp/i2016-16243-y ◽

2016 ◽

Vol 131 (7) ◽

Author(s):

F. Zabihi ◽

M. Saffarian

Keyword(s):

Numerical Solution ◽

Radial Basis Functions ◽

Meshless Method ◽

Burgers Equation ◽

Basis Functions ◽

Two Dimensional ◽

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The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin–Bona–Mahony–Burgers equation in arbitrary domains

Applied Mathematics and Computation ◽

10.1016/j.amc.2017.10.051 ◽

2018 ◽

Vol 321 ◽

pp. 223-243 ◽

Author(s):

M. Hajiketabi ◽

S. Abbasbandy ◽

F. Casas

Keyword(s):

Radial Basis Functions ◽

Lie Group ◽

Burgers Equation ◽

Basis Functions ◽

High Dimensional ◽

Group Method ◽

Lie Group Method ◽

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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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Numerical solution of stochastic elliptic partial differential equations using the meshless method of radial basis functions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2014.08.013 ◽

2015 ◽

Vol 50 ◽

pp. 291-303 ◽

Author(s):

Mehdi Dehghan ◽

Mohammad Shirzadi

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Numerical Solution ◽

Radial Basis Functions ◽

Meshless Method ◽

Elliptic Partial Differential Equations ◽

Basis Functions ◽

Partial Differential ◽

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A Not-a-Knot meshless method using radial basis functions and predictor–corrector scheme to the numerical solution of improved Boussinesq equation

Computer Physics Communications ◽

10.1016/j.cpc.2010.08.035 ◽

2010 ◽

Vol 181 (12) ◽

pp. 1990-2000 ◽

Author(s):

Ali Shokri ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Radial Basis Functions ◽

Meshless Method ◽

Boussinesq Equation ◽

Basis Functions ◽

Radial Basis ◽

Predictor Corrector

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A meshless method for numerical solution of the one-dimensional wave equation with an integral condition using radial basis functions

Numerical Algorithms ◽

10.1007/s11075-009-9293-0 ◽

2009 ◽

Vol 52 (3) ◽

pp. 461-477 ◽

Author(s):

Mehdi Dehghan ◽

Ali Shokri

Keyword(s):

Wave Equation ◽

Numerical Solution ◽

Radial Basis Functions ◽

Meshless Method ◽

Integral Condition ◽

Basis Functions ◽

One Dimensional ◽

Radial Basis ◽

The One ◽

Dimensional Wave

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A Meshless Method Using Radial Basis Functions for the Numerical Solution of Two-Dimensional ZK–BBM Equation

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-016-0287-z ◽

2016 ◽

Vol 3 (4) ◽

pp. 4001-4013 ◽

Author(s):

F. Zabihi ◽

M. Saffarian

Keyword(s):

Numerical Solution ◽

Radial Basis Functions ◽

Meshless Method ◽

Basis Functions ◽

Two Dimensional ◽

Radial Basis ◽

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A meshless method using the radial basis functions for numerical solution of the regularized long wave equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20457 ◽

2009 ◽

Vol 26 (4) ◽

pp. 807-825 ◽

Author(s):

Ali Shokri ◽

Mehdi Dehghan

Keyword(s):

Wave Equation ◽

Numerical Solution ◽

Radial Basis Functions ◽

Meshless Method ◽

Basis Functions ◽

Long Wave ◽

Regularized Long Wave Equation ◽

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The numerical solution of nonlinear generalized Benjamin–Bona–Mahony–Burgers and regularized long-wave equations via the meshless method of integrated radial basis functions

Engineering With Computers ◽

10.1007/s00366-019-00811-3 ◽

2019 ◽

Author(s):

Ali Ebrahimijahan ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Radial Basis Functions ◽

Meshless Method ◽

Wave Equations ◽

Basis Functions ◽

Long Wave ◽

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A meshless method of lines for the numerical solution of KdV equation using radial basis functions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2009.04.008 ◽

2009 ◽

Vol 33 (10) ◽

pp. 1171-1180 ◽

Author(s):

Quan Shen

Keyword(s):

Numerical Solution ◽

Radial Basis Functions ◽

Meshless Method ◽

Kdv Equation ◽

Method Of Lines ◽

Basis Functions ◽

Radial Basis ◽

Meshless Method Of Lines

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