Numerical solution of one- and two-dimensional time-fractional Burgers equation via Lucas polynomials coupled with Finite difference method

Numerical solution of one- and two-dimensional time-fractional Burgers equation via Lucas polynomials coupled with Finite difference method

In this article, a numerical technique based on polynomials is proposed for the solution of one and two-dimensional time-fractional Burgers equation. First, the given problem is reduced to time discrete form using θ-weighted scheme. Then, with the help of Lucas and Fibonacci polynomials the given PD...

Full description

Bibliographic Details
Main Authors: Ihteram Ali, Sirajul Haq, Saud Fahad Aldosary, Kottakkaran Sooppy Nisar, Faraz Ahmad
Format: Article
Language:English
Published: Elsevier 2022-08-01
Series:Alexandria Engineering Journal
Subjects:
Burgers equations
Lucas polynomials
Fibonacci polynomials
Caputo fractional derivative
Finite differences
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016821007651

Internet

http://www.sciencedirect.com/science/article/pii/S1110016821007651

Similar Items