A hybrid radial basis functions collocation technique to numerically solve fractional advection–diffusion models

Manzoor Hussain; Sirajul Haq

doi:10.1002/num.22472

A hybrid radial basis functions collocation technique to numerically solve fractional advection–diffusion models

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22472 ◽

2020 ◽

Vol 36 (6) ◽

pp. 1254-1279

Author(s):

Manzoor Hussain ◽

Sirajul Haq

Keyword(s):

Radial Basis Functions ◽

Diffusion Models ◽

Basis Functions ◽

Advection Diffusion ◽

Collocation Technique ◽

Radial Basis

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A Cartesian-grid collocation technique with integrated radial basis functions for mixed boundary value problems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.2771 ◽

2009 ◽

pp. n/a-n/a

Author(s):

Phong B. H. Le ◽

Nam Mai-Duy ◽

Thanh Tran-Cong ◽

Graham Baker

Keyword(s):

Boundary Value Problems ◽

Radial Basis Functions ◽

Mixed Boundary ◽

Boundary Value ◽

Cartesian Grid ◽

Basis Functions ◽

Mixed Boundary Value Problems ◽

Collocation Technique ◽

Radial Basis

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A collocation method based on localized radial basis functions with reproducibility for nonlocal diffusion models

Computational and Applied Mathematics ◽

10.1007/s40314-021-01665-6 ◽

2021 ◽

Vol 40 (8) ◽

Author(s):

Jiashu Lu ◽

Yufeng Nie

Keyword(s):

Collocation Method ◽

Radial Basis Functions ◽

Diffusion Models ◽

Basis Functions ◽

Nonlocal Diffusion ◽

Radial Basis

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Combination of finite difference method and meshless method based on radial basis functions to solve fractional stochastic advection–diffusion equations

Engineering With Computers ◽

10.1007/s00366-019-00789-y ◽

2019 ◽

Vol 36 (4) ◽

pp. 1673-1686 ◽

Cited By ~ 8

Author(s):

Farshid Mirzaee ◽

Nasrin Samadyar

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Radial Basis Functions ◽

Difference Method ◽

Meshless Method ◽

Basis Functions ◽

Diffusion Equations ◽

Advection Diffusion ◽

Radial Basis

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A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2021.03.006 ◽

2021 ◽

Vol 127 ◽

pp. 18-28

Author(s):

M. Hosseininia ◽

M.H. Heydari ◽

Z. Avazzadeh ◽

F.M. Maalek Ghaini

Keyword(s):

Diffusion Equation ◽

Radial Basis Functions ◽

Hybrid Method ◽

Bernoulli Polynomials ◽

Basis Functions ◽

Variable Order ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Radial Basis ◽

Fractional Reaction

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Meshless simulation of stochastic advection–diffusion equations based on radial basis functions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2014.11.011 ◽

2015 ◽

Vol 53 ◽

pp. 18-26 ◽

Cited By ~ 24

Author(s):

Mehdi Dehghan ◽

Mohammad Shirzadi

Keyword(s):

Radial Basis Functions ◽

Basis Functions ◽

Diffusion Equations ◽

Advection Diffusion ◽

Radial Basis

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Integrated radial basis functions (IRBFs) to simulate nonlinear advection–diffusion equations with smooth and non-smooth initial data

Engineering With Computers ◽

10.1007/s00366-020-01039-2 ◽

2020 ◽

Author(s):

Ali Ebrahimijahan ◽

Mehdi Dehghan ◽

Mostafa Abbaszadeh

Keyword(s):

Initial Data ◽

Radial Basis Functions ◽

Basis Functions ◽

Diffusion Equations ◽

Smooth Initial Data ◽

Advection Diffusion ◽

Nonlinear Advection ◽

Radial Basis

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On the Numerical Solution of Linear Advection-Diffusion Equation using Compactly Supported Radial Basis Functions

Lecture Notes in Computational Science and Engineering - Meshfree Methods for Partial Differential Equations ◽

10.1007/978-3-642-56103-0_5 ◽

2003 ◽

pp. 63-73 ◽

Cited By ~ 2

Author(s):

Ismail Boztosun ◽

Abdellatif Charafi ◽

Dervis Boztosun

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Radial Basis Functions ◽

Basis Functions ◽

Compactly Supported ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Radial Basis

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Compact local integrated radial basis functions (Integrated RBF) method for solving system of non–linear advection-diffusion-reaction equations to prevent the groundwater contamination

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2020.09.003 ◽

2020 ◽

Vol 121 ◽

pp. 50-64

Author(s):

Ali Ebrahimijahan ◽

Mehdi Dehghan ◽

Mostafa Abbaszadeh

Keyword(s):

Groundwater Contamination ◽

Radial Basis Functions ◽

Basis Functions ◽

Diffusion Reaction ◽

Advection Diffusion ◽

Non Linear ◽

Radial Basis ◽

Reaction Equations ◽

Advection Diffusion Reaction Equations

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Computing the survival probability density function in jump-diffusion models: A new approach based on radial basis functions

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2011.02.008 ◽

2011 ◽

Vol 35 (9) ◽

pp. 1075-1084 ◽

Cited By ~ 37

Author(s):

Luca Vincenzo Ballestra ◽

Graziella Pacelli

Keyword(s):

Probability Density Function ◽

Probability Density ◽

Density Function ◽

Radial Basis Functions ◽

Survival Probability ◽

Jump Diffusion ◽

Diffusion Models ◽

Basis Functions ◽

New Approach ◽

Radial Basis

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A Sequential Optimization Approach for Honeycomb Crashworthiness using Radial Basis Functions

10.26678/abcm.mecsol2019.msl19-0027 ◽

2019 ◽

Author(s):

Matheus Rodrigues ◽

Marco Antonio Luersen

Keyword(s):

Radial Basis Functions ◽

Basis Functions ◽

Sequential Optimization ◽

Optimization Approach ◽

Radial Basis

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