Meshless upwind local radial basis function-finite difference technique to simulate the time- fractional distributed-order advection–diffusion equation

Engineering With Computers ◽

10.1007/s00366-019-00861-7 ◽

2019 ◽

Cited By ~ 10

Author(s):

Mostafa Abbaszadeh ◽

Mehdi Dehghan

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Radial Basis Function ◽

Basis Function ◽

Finite Difference Technique ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Radial Basis ◽

Distributed Order

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Hyperviscosity-based stabilization for radial basis function-finite difference (RBF-FD) discretizations of advection–diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2018.06.036 ◽

2018 ◽

Vol 372 ◽

pp. 616-639 ◽

Cited By ~ 13

Author(s):

Varun Shankar ◽

Aaron L. Fogelson

Keyword(s):

Finite Difference ◽

Radial Basis Function ◽

Basis Function ◽

Diffusion Equations ◽

Advection Diffusion ◽

Radial Basis

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Unconditional stable explicit finite difference technique for the advection–diffusion equation using spreadsheets

Advances in Engineering Software ◽

10.1016/j.advengsoft.2006.08.001 ◽

2007 ◽

Vol 38 (2) ◽

pp. 80-86 ◽

Cited By ~ 23

Author(s):

Halil Karahan

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Finite Difference Technique ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Explicit Finite Difference

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A Gaussian radial basis function-finite difference technique to simulate the HCIR equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.08.019 ◽

2019 ◽

Vol 347 ◽

pp. 181-195 ◽

Cited By ~ 2

Author(s):

Haifa Bin Jebreen

Keyword(s):

Finite Difference ◽

Radial Basis Function ◽

Basis Function ◽

Finite Difference Technique ◽

Radial Basis

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A novel finite volume method for the Riesz space distributed-order advection–diffusion equation

Applied Mathematical Modelling ◽

10.1016/j.apm.2017.01.065 ◽

2017 ◽

Vol 46 ◽

pp. 536-553 ◽

Cited By ~ 47

Author(s):

J. Li ◽

F. Liu ◽

L. Feng ◽

I. Turner

Keyword(s):

Diffusion Equation ◽

Finite Volume Method ◽

Finite Volume ◽

Riesz Space ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Volume Method ◽

Distributed Order

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A fully implicit finite difference scheme based on extended cubic B-splines for time fractional advection–diffusion equation

Advances in Difference Equations ◽

10.1186/s13662-018-1537-7 ◽

2018 ◽

Vol 2018 (1) ◽

Cited By ~ 12

Author(s):

Syed Tauseef Mohyud-Din ◽

Tayyaba Akram ◽

Muhammad Abbas ◽

Ahmad Izani Ismail ◽

Norhashidah H. M. Ali

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Scheme ◽

Finite Difference Scheme ◽

B Splines ◽

Fully Implicit ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Implicit Finite Difference Scheme ◽

Implicit Finite Difference

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An RBF based meshless method for the distributed order time fractional advection–diffusion equation

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2018.08.007 ◽

2018 ◽

Vol 96 ◽

pp. 55-63 ◽

Cited By ~ 3

Author(s):

Quanzhen Liu ◽

Shanjun Mu ◽

Qingxia Liu ◽

Baoquan Liu ◽

Xiaolei Bi ◽

...

Keyword(s):

Diffusion Equation ◽

Meshless Method ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Distributed Order

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On a high-order Gaussian radial basis function generated Hermite finite difference method and its application

CALCOLO ◽

10.1007/s10092-021-00443-4 ◽

2021 ◽

Vol 58 (4) ◽

Author(s):

Fazlollah Soleymani ◽

Shengfeng Zhu

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Radial Basis Function ◽

Basis Function ◽

Difference Method ◽

High Order ◽

Radial Basis

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Numerical investigation based on radial basis function–finite-difference (RBF–FD) method for solving the Stokes–Darcy equations

Engineering With Computers ◽

10.1007/s00366-019-00863-5 ◽

2019 ◽

Cited By ~ 2

Author(s):

Mansour Safarpoor ◽

Ahmad Shirzadi

Keyword(s):

Finite Difference ◽

Radial Basis Function ◽

Numerical Investigation ◽

Basis Function ◽

Radial Basis ◽

Darcy Equations

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Erratum To: "High-Order Finite Difference Schemes for Solving the Advection-Diffusion Equation, Mathematical and Computational Applications, Vol. 15, No. 3, 449-460, 2010."

Mathematical and Computational Applications ◽

10.3390/mca16040979 ◽

2011 ◽

Vol 16 (4) ◽

pp. 979-979

Author(s):

Murat Sari ◽

Gürhan Gürarslan ◽

Asuman Zeytinoğlu

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

High Order Finite Difference

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Multi-dimensional asymptotically stable finite difference schemes for the advection–diffusion equation

Computers & Fluids ◽

10.1016/s0045-7930(98)00042-5 ◽

1999 ◽

Vol 28 (4-5) ◽

pp. 481-510 ◽

Cited By ~ 7

Author(s):

Saul Abarbanel ◽

Adi Ditkowski

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Asymptotically Stable ◽

Advection Diffusion Equation ◽

Advection Diffusion

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