A nonconventional Eulerian-Lagrangian single-node collocation method with Hermite polynomials for unsteady-state advection-diffusion equations

2003 ◽  
Vol 19 (3) ◽  
pp. 271-283 ◽  
Author(s):  
Li Wu ◽  
Hong Wang ◽  
George F. Pinder
Keyword(s):  
Collocation Method ◽  
Hermite Polynomials ◽  
Diffusion Equations ◽  
Unsteady State ◽  
Single Node ◽  
Advection Diffusion

scholarly journals A collocation method of lines for two‐sided space‐fractional advection‐diffusion equations with variable coefficients

2019 ◽  
Vol 42 (10) ◽  
pp. 3465-3480 ◽  
Author(s):  
Mohammed K. Almoaeet ◽  
Mostafa Shamsi ◽  
Hassan Khosravian‐Arab ◽  
Delfim F. M. Torres
Keyword(s):  
Collocation Method ◽  
Method Of Lines ◽  
Variable Coefficients ◽  
Diffusion Equations ◽  
Advection Diffusion

scholarly journals Cubic B-Spline Collocation Method for One-Dimensional Heat and Advection-Diffusion Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-8 ◽  
Author(s):  
Joan Goh ◽  
Ahmad Abd. Majid ◽  
Ahmad Izani Md. Ismail
Keyword(s):  
Collocation Method ◽  
Numerical Solutions ◽  
Diffusion Equations ◽  
Test Problems ◽  
Spline Collocation ◽  
Von Neumann ◽  
One Dimensional ◽  
Advection Diffusion ◽  
The Stability ◽  
Good Agreement

Numerical solutions of one-dimensional heat and advection-diffusion equations are obtained by collocation method based on cubicB-spline. Usual finite difference scheme is used for time and space integrations. CubicB-spline is applied as interpolation function. The stability analysis of the scheme is examined by the Von Neumann approach. The efficiency of the method is illustrated by some test problems. The numerical results are found to be in good agreement with the exact solution.

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