Quartic-trigonometric tension B-spline Galerkin method for the solution of the advection-diffusion equation

Ozlem Ersoy Hepson; Gulsemay Yigit

doi:10.1007/s40314-021-01526-2

Quartic-trigonometric tension B-spline Galerkin method for the solution of the advection-diffusion equation

Computational and Applied Mathematics ◽

10.1007/s40314-021-01526-2 ◽

2021 ◽

Vol 40 (4) ◽

Author(s):

Ozlem Ersoy Hepson ◽

Gulsemay Yigit

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

B Spline ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Stability and convergence of the cubic B-spline collocation method for time-fractional advection-diffusion equation

10.22541/au.159526870.02911339 ◽

2020 ◽

Author(s):

Allahbakhsh YAZDANI CHERATI ◽

Mahmod BADR ◽

Zohre AZIMI

Keyword(s):

Diffusion Equation ◽

Collocation Method ◽

Stability And Convergence ◽

Spline Collocation ◽

B Spline ◽

Spline Collocation Method ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Extended cubic B-spline solution of the advection-diffusion equation

KSCE Journal of Civil Engineering ◽

10.1007/s12205-013-0737-7 ◽

2014 ◽

Vol 19 (4) ◽

pp. 929-934 ◽

Cited By ~ 8

Author(s):

Dursun Irk ◽

İdris Dağ ◽

Mustafa Tombul

Keyword(s):

Diffusion Equation ◽

B Spline ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Quartic and quintic B-spline methods for advection–diffusion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.11.004 ◽

2016 ◽

Vol 274 ◽

pp. 208-219 ◽

Cited By ~ 12

Author(s):

Alper Korkmaz ◽

Idris Dağ

Keyword(s):

Diffusion Equation ◽

B Spline ◽

Advection Diffusion Equation ◽

Advection Diffusion

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A new b-spline finite element method for the advection-diffusion equation

Proceedings of the Fifth International Colloquium on Differential Equations ◽

10.1515/9783112314029-012 ◽

1995 ◽

pp. 123-132 ◽

Cited By ~ 1

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

B Spline ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Spline Finite Element ◽

Element Method ◽

Spline Finite Element Method

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Taylor‐Galerkin method for advection‐diffusion equation

Kybernetes ◽

10.1108/03684921111142304 ◽

2011 ◽

Vol 40 (5/6) ◽

pp. 762-777 ◽

Cited By ~ 12

Author(s):

İdris Dağ ◽

Aynur Canivar ◽

Ali Şahin

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Taylor Galerkin Method

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Galerkin-least square B-spline approach toward advection–diffusion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.03.092 ◽

2015 ◽

Vol 261 ◽

pp. 128-140 ◽

Cited By ~ 1

Author(s):

S. Dhawan ◽

Samir Kumar Bhowmik ◽

Sheo Kumar

Keyword(s):

Diffusion Equation ◽

Least Square ◽

B Spline ◽

Advection Diffusion Equation ◽

Advection Diffusion

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Space-Time Hybridizable Discontinuous Galerkin Method for the Advection–Diffusion Equation on Moving and Deforming Meshes

The Courant–Friedrichs–Lewy (CFL) Condition ◽

10.1007/978-0-8176-8394-8_4 ◽

2013 ◽

pp. 45-63 ◽

Cited By ~ 8

Author(s):

Sander Rhebergen ◽

Bernardo Cockburn

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Time ◽

Advection Diffusion Equation ◽

Hybridizable Discontinuous Galerkin ◽

Advection Diffusion ◽

Hybridizable Discontinuous Galerkin Method

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A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS

Anadolu University Journal of Science and Technology-A Applied Sciences and Engineering ◽

10.18038/aubtda.336116 ◽

2018 ◽

pp. 1-1

Author(s):

Melis Zorsahin Gorgulu ◽

Idris Dag ◽

Sumeyye Dogan ◽

Dursun Irk

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Spline Functions ◽

B Spline ◽

Advection Diffusion Equation ◽

Advection Diffusion

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The Crank‐Nicolson/interpolating stabilized element‐free Galerkin method to investigate the fractional Galilei invariant advection‐diffusion equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5871 ◽

2020 ◽

Author(s):

Mostafa Abbaszadeh ◽

Mehdi Dehghan

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Element Free Galerkin Method ◽

Advection Diffusion Equation ◽

Element Free Galerkin ◽

Advection Diffusion ◽

Element Free ◽

Crank Nicolson

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Discontinuous Legendre Wavelet Galerkin Method for One-Dimensional Advection-Diffusion Equation

Applied Mathematics ◽

10.4236/am.2015.69141 ◽

2015 ◽

Vol 06 (09) ◽

pp. 1581-1591 ◽

Cited By ~ 2

Author(s):

Xiaoyang Zheng ◽

Zhengyuan Wei

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

One Dimensional ◽

Wavelet Galerkin Method ◽

Advection Diffusion Equation ◽

Advection Diffusion

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