Simulation of the incompressible Navier–Stokes via integrated radial basis function based on finite difference scheme

Engineering With Computers ◽

10.1007/s00366-021-01543-z ◽

2022 ◽

Author(s):

Ali Ebrahimijahan ◽

Mehdi Dehghan ◽

Mostafa Abbaszadeh

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Radial Basis Function ◽

Basis Function ◽

Finite Difference Scheme ◽

Navier Stokes ◽

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Solving an eigenvalue problem on a periodic domain using a radial basis function finite difference scheme

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2013.08.018 ◽

2013 ◽

Vol 37 (12) ◽

pp. 1594-1601 ◽

Author(s):

N.S. O'Brien ◽

K. Djidjeli ◽

S.J. Cox

Keyword(s):

Finite Difference ◽

Eigenvalue Problem ◽

Difference Scheme ◽

Radial Basis Function ◽

Basis Function ◽

Finite Difference Scheme ◽

Periodic Domain ◽

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Radial basis function-generated finite difference scheme for simulating the brain cancer growth model under radiotherapy in various types of computational domains

Computer Methods and Programs in Biomedicine ◽

10.1016/j.cmpb.2020.105641 ◽

2020 ◽

Vol 195 ◽

pp. 105641

Author(s):

Mehdi Dehghan ◽

Niusha Narimani

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Radial Basis Function ◽

Growth Model ◽

Brain Cancer ◽

Basis Function ◽

Finite Difference Scheme ◽

Cancer Growth ◽

Radial Basis ◽

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A generalised finite difference scheme based on compact integrated radial basis function for flow in heterogeneous soils

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4386 ◽

2017 ◽

Vol 85 (7) ◽

pp. 404-429 ◽

Author(s):

D. Ngo-Cong ◽

C. M. T. Tien ◽

T. Nguyen-Ky ◽

D.-A. An-Vo ◽

N. Mai-Duy ◽

...

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Radial Basis Function ◽

Basis Function ◽

Finite Difference Scheme ◽

Heterogeneous Soils ◽

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Two-dimensional simulation of the damped Kuramoto–Sivashinsky equation via radial basis function-generated finite difference scheme combined with an exponential time discretization

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2019.06.007 ◽

2019 ◽

Vol 107 ◽

pp. 168-184 ◽

Author(s):

Mehdi Dehghan ◽

Vahid Mohammadi

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Radial Basis Function ◽

Basis Function ◽

Finite Difference Scheme ◽

Time Discretization ◽

Two Dimensional ◽

Exponential Time ◽

Dimensional Simulation ◽

Sivashinsky Equation

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Hybrid Compact-WENO Finite Difference Scheme with Radial Basis Function Based Shock Detection Method for Hyperbolic Conservation Laws

SIAM Journal on Scientific Computing ◽

10.1137/18m1166365 ◽

2018 ◽

Vol 40 (6) ◽

pp. A3699-A3714

Author(s):

B. S. Wang ◽

W. S. Don ◽

Z. Gao ◽

Y. H. Wang ◽

X. Wen

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Radial Basis Function ◽

Basis Function ◽

Finite Difference Scheme ◽

Hyperbolic Conservation Laws ◽

Detection Method ◽

Hyperbolic Conservation ◽

Shock Detection

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Kinetic derivation of a finite difference scheme for the incompressible Navier–Stokes equation

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(02)00857-9 ◽

2003 ◽

Vol 154 (2) ◽

pp. 341-354 ◽

Author(s):

Mapundi K. Banda ◽

Michael Junk ◽

Axel Klar

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Stokes Equation ◽

Finite Difference Scheme ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Incompressible Navier Stokes Equation

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Finite-Difference Scheme for Stationary Navier-Stokes Equations with Variable Coefficients

Nonlinear Partial Differential Equations in Engineering and Applied Science ◽

10.1201/9780203745465-23 ◽

2017 ◽

pp. 343-371

Author(s):

Jerzyna Slomczynska ◽

Zbigniew Peradzyński

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Stokes Equations ◽

Variable Coefficients ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Stationary Navier Stokes Equations

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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 ◽

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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 ◽

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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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 ◽

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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