Radical Petrov–Galerkin Approach for the Time-Fractional KdV–Burgers’ Equation

Radical Petrov–Galerkin Approach for the Time-Fractional KdV–Burgers’ Equation

This paper presents a novel numerical spectral scheme to handle the time-fractional KdV–Burgers’ equation, which is very important in both physics and engineering. The scheme basically uses the tau approach combined with Gegenbauer polynomials to provide accurate and stable numerical solutions. Inst...

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Bibliographic Details
Main Authors: Youssri Hassan Youssri, Ahmed Gamal Atta
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Mathematical and Computational Applications
Subjects:
Gegenbauer polynomials
Petrov–Galerkin method
time-fractional KdV–Burgers’ equation
Online Access:https://www.mdpi.com/2297-8747/29/6/107
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