On the numerical evaluation for studying the fractional KdV, KdV-Burgers and Burgers equations

  • M. M. Khader
  • Khaled M. SaadEmail author
Regular Article


This paper is devoted to present an accurate numerical procedure to solve fractional (Caputo sense) Korteweg-de Vries, Korteweg-de Vries-Burgers and Burgers equations by using the spectral Chebyshev collocation method and finite difference method (FDM). The proposed problem is reduced to a system of ODEs with the help of the properties of Chebyshev polynomials of the third kind. This system is solved by using the FDM. Some theorems about the convergence analysis are stated and proved. A numerical simulation and a comparison with the previous work are presented.


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© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics and Statistics, College of ScienceAl Imam Mohammad Ibn Saud Islamic University (IMSIU)RiyadhSaudi Arabia
  2. 2.Department of Mathematics, Faculty of ScienceBenha UniversityBenhaEgypt
  3. 3.Department of Mathematics, College of Arts and SciencesNajran UniversityNajranSaudi Arabia
  4. 4.Department of Mathematics, Faculty of Applied ScienceTaiz UniversityTaizYemen

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