On the exact and numerical solution of the time-delayed Burgers equation

DOI10.1080/00207160701541636zbMath1158.65077OpenAlexW2126945420MaRDI QIDQ3543512

E. S. Fahmy, H. A. Abdusalam, Kamal R. Raslan

Publication date: 4 December 2008

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701541636

zbMATH Keywords

Adomian decomposition methodPicard iterationtraveling-wave solutionstanh-function methodtime-delayed Burgers equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (11)

On a New Type of Periodic Fronts in Burgers Type Equations with Modular Advection ⋮ ADM-Padé solutions for generalized Burgers and Burgers-Huxley systems with two coupled equations ⋮ Asymptotic solution of the inverse problem for restoring the modular type source in Burgers' equation with modular advection ⋮ Special polynomials associated with the Burgers hierarchy ⋮ Asymptotic solution of coefficient inverse problems for Burgers-type equations ⋮ On the motion, amplification, and blow-up of fronts in Burgers-type equations with quadratic and modular nonlinearity ⋮ A three-level implicit difference scheme for solving the inviscid Burgers' equation with time delay ⋮ Exact solutions of equations for the Burgers hierarchy ⋮ A computational procedure for exact solutions of Burgers' hierarchy of nonlinear partial differential equations ⋮ The existence and asymptotic stability of periodic solutions with an interior layer of Burgers type equations with modular advection ⋮ Self-similar solutions of the Burgers hierarchy

Uses Software

• RATH

Cites Work

• Unnamed Item
• RATH: A Maple package for finding travelling solitary wave solutions to nonlinear evolution equations
• Exact travelling wave solutions of some nonlinear evolutionary equations
• An automated \(\tanh\)-function method for finding solitary wave solutions to nonlinear evolution equations
• Solving frontier problems of physics: the decomposition method
• Exact analytic solution of the simplified telegraph model of propagation and dissipation of excitation fronts
• On modified Black-Scholes equation
• New method for calculating Adomian polynomials
• The \(\tan h\) method: solitons and periodic solutions for the Dodd-Bullough-Mikhailov and the Tzitzeica-Dodd-Bullough equations
• Simplest equation method to look for exact solutions of nonlinear differential equations
• Extended tanh-function method and its applications to nonlinear equations
• The decomposition method for a Hirota–Satsuma coupled KdV equation and a coupled MKdV equation
• The Adomian decomposition method for solving delay differential equation
• New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations

This page was built for publication: On the exact and numerical solution of the time-delayed Burgers equation