Improved finite difference technique via Adomian polynomial to solve the coupled Drinfeld's-Sokolov-Wilson system

DOI10.1155/2023/6916596OpenAlexW4389366548MaRDI QIDQ6204721

Israa Th. Younis, Ekhlass S. AL-Rawi

Publication date: 2 April 2024

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2023/6916596

zbMATH Keywords

Adomian polynomialsDrinfeld's-Sokolov-Wilson systemhybrid explicit fnite diference technique

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Other functions coming from differential, difference and integral equations (33E30) Finite difference methods for boundary value problems involving PDEs (65N06) Soliton solutions (35C08)

Cites Work

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• The comparison of the stability of the Adomian decomposition method with numerical methods of equation solution
• Exp-function method for nonlinear wave equations
• Lie algebras and equations of Korteweg-de Vries type
• Adomian decomposition method with modified Bernstein polynomials for solving ordinary and partial differential equations
• The application of bifurcation method to a higher-order KdV equation
• The improved F-expansion method and its applications
• On the use of Elzaki decomposition method for solving higher-order integro-differential equations
• Spatiotemporal chaos in spatially extended fractional dynamical systems
• Numerical Solution of Partial Differential Equations
• Some new and modified fractional analysis of the time-fractional Drinfeld–Sokolov–Wilson system

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