High-order numerical solution of viscous Burgers' equation using a Cole-Hopf barycentric Gegenbauer integral pseudospectral method

Author:

Elgindy Kareem T.12ORCID,Dahy Sayed A.2ORCID

Affiliation:

1. Mathematics & Statistics Department; The College of Sciences, King Fahd University of Petroleum & Minerals; Dhahran 31261 Kingdom of Saudi Arabia

2. Mathematics Department, Faculty of Science; Assiut University; Assiut 71516 Egypt

Funder

Deanship of Scientific Research (DSR) at King Fahd University of Petroleum & Minerals (KFUPM)

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference61 articles.

1. Some recent researches on the motion of fluids;Bateman;Mon Weather Rev,1915

2. A mathematical model illustrating the theory of turbulence;Burgers;Adv Appl Mech,1948

3. A numerical method based on Crank-Nicolson scheme for Burgers' equation;Kadalbajoo;Appl Math Comput,2006

4. Quadratic B-spline finite element method for numerical solution of the Burgers' equation;Aksan;Appl Math Comput,2006

5. Scaling laws for the multidimensional Burgers equation with quadratic external potential;Leonenko;J Stat Phys,2006

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