Hypercomplex mathematics and HPM for the time-delayed Burgers equation with convergence analysis

DOI10.1007/s11075-011-9448-7zbMath1227.65098OpenAlexW2119251490MaRDI QIDQ639351

Davood Rostamy, Kobra Karimi

Publication date: 20 September 2011

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-011-9448-7

zbMATH Keywords

convergencenumerical exampleshomotopy perturbation methodcommutative hypercomplex mathematicstime-delayed Burgers equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

The general analytical and numerical solution for the modified KdV equation with convergence analysis ⋮ Fast spectral collocation method for solving nonlinear time-delayed Burgers-type equations with positive power terms

Cites Work

• Unnamed Item
• Homotopy perturbation technique for solving two-point boundary value problems -- comparison with other methods
• Delay differential equations: with applications in population dynamics
• Solution of delay differential equations via a homotopy perturbation method
• On the solutions of the time-delayed Burgers equation
• Travelling wave solutions for time-delayed nonlinear evolution equations
• Application of He's homotopy perturbation method for non-linear system of second-order boundary value problems
• Stability and control of time-delay systems
• A general approach to hyperbolic partial differential equations by homotopy perturbation method
• Exact solutions of Fisher and Burgers equations with finite transport memory