International Journal of Numerical Methods and Applications

The International Journal of Numerical Methods and Applications publishes research articles on numerical methods and their applications in various fields, including differential equations, fluid dynamics, and bioinformatics. It also welcomes survey articles on new methods in numerical analysis.

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A NEW APPROACH OF SBA METHOD FOR SOLVING NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

Authors

  • Bamogo Hamadou
  • Francis Bassono
  • Yaya Moussa
  • Youssouf Paré

Keywords:

fractional equation, some Blaise Abbo (SBA) method, new approach of the SBA method, Korteweg-de Vries equation, Schrödinger equation, fractional partial differential equations (PDEs).

DOI:

https://doi.org/10.17654/0975045222009

Abstract

We propose a new approach of the SBA method to solve nonlinear fractional partial differential equations. Two examples are considered to illustrate the method.

Received: August 4, 2022 
Accepted: September 20, 2022

References

Abdoul Wassiha Nebie, Résolution de quelques équations fonctionnelles d’ordre fractionnaire au sens de Caputo par la méthode SBA et par la méthode HPM, Thèse de Doctorat unique, Université Joseph Ki-Zerbo, Soutenue le, UFR SEA, 2022.

Ali Khalouta, Résolution des équations aux dérivées partielles linéaires et nonlinéaires moyennant des approches analytiques, Extension aux cas d’EDP d’ordre fractionnaire, Université Ferhat Abbas Setif1, 2019.

Brahim Tellab, Résolution des équations différentielles fractionnaires, Thèse de doctorat, Université des Frères Mentouri Constantine-1 soutenu le, 2018.

R. Sahadevan and T. Bakkyaraj, Invariant subspace method and exact solutions of certain nonlinear time fractional partial differential equations, 2015.

Francis Bassono, Résolution numérique comparée de quelques équations fonctionnelles par la méthode SBA, décompositionnelle d’Adomian et perturbation, Thèse de Doctorat unique, Université de Ouagadougou, UFR SEA, 2013.

Gérard Zongo, Ousseni So, Geneviève Barro, Youssouf Pare and Blaise Some, A comparison of Adomian’s Method and SBA method on the Nonlinear Schrödinger’s equation, Far East Journal of Dynamical Systems 29(4) (2017), 149-161.

Youssouf Pare, Resolution de quelques equations fonctionnelles par la numerique SBA (Some Blaise-Abbo), Thèse de Doctorat unique, Université de Ouagadougou, 2010.

Youssouf Pare, Francis Bassono and Blaise Some, A new technique for numerical resolution of few non linear integral equations of Fredholm by SBA method, Far East J. Appl. Math. 70(1) (2012), 21-33.

Youssouf Pare, Abbo Bakari, Rasmane Yaro and Blaise Some, Solving first kind Abel integral equations using the SBA numerical method, Nonl. Anal. Differ. Equ. 1(3) (2013), 115-128.

Ouedraogo Seny, Abbo Bakari, Rasmane Yaro and Youssouf Pare, Convergence of a new approach of Adomian’s method for solving volterra fractional integral of second kind, Far East Journal of Mathematical Sciences (FJMS) 127(2) (2020), 107-120.

Youssouf Pare, Equations intégrales et intégro-différentielles, Generis Publishing, 2021.

Published

2022-11-04

Issue

Section

Articles

How to Cite

A NEW APPROACH OF SBA METHOD FOR SOLVING NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS. (2022). International Journal of Numerical Methods and Applications, 22, 117-137. https://doi.org/10.17654/0975045222009

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