### Abstract

In a recent paper, Ismail et al. [Adomian decomposition method for Burgers-Huxley and Burgers-Fisher equations, Appl. Math. Comput. 159 (2004) 291-301] employed the Adomian decomposition method (ADM) to solve, in particular, a generalized nonlinear Huxley equation. The purpose of this note is to correct Ismail et al.'s numerical solutions of the generalized Huxley equation. In addition, a convergence proof of the ADM applied to the generalized Huxley equation is also given.

Original language | English |
---|---|

Pages (from-to) | 1439-1445 |

Number of pages | 7 |

Journal | Applied Mathematics and Computation |

Volume | 181 |

Issue number | 2 |

DOIs | |

Publication status | Published - 15 Oct 2006 |

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### Keywords

- Adomian decomposition method
- Huxley equation
- Nonlinear PDE

### ASJC Scopus subject areas

- Applied Mathematics
- Computational Mathematics
- Numerical Analysis

### Cite this

*Applied Mathematics and Computation*,

*181*(2), 1439-1445. https://doi.org/10.1016/j.amc.2006.03.011

**A note on the Adomian decomposition method for the generalized Huxley equation.** / Hashim, Ishak; Md. Noorani, Mohd. Salmi; Batiha, B.

Research output: Contribution to journal › Article

*Applied Mathematics and Computation*, vol. 181, no. 2, pp. 1439-1445. https://doi.org/10.1016/j.amc.2006.03.011

}

TY - JOUR

T1 - A note on the Adomian decomposition method for the generalized Huxley equation

AU - Hashim, Ishak

AU - Md. Noorani, Mohd. Salmi

AU - Batiha, B.

PY - 2006/10/15

Y1 - 2006/10/15

N2 - In a recent paper, Ismail et al. [Adomian decomposition method for Burgers-Huxley and Burgers-Fisher equations, Appl. Math. Comput. 159 (2004) 291-301] employed the Adomian decomposition method (ADM) to solve, in particular, a generalized nonlinear Huxley equation. The purpose of this note is to correct Ismail et al.'s numerical solutions of the generalized Huxley equation. In addition, a convergence proof of the ADM applied to the generalized Huxley equation is also given.

AB - In a recent paper, Ismail et al. [Adomian decomposition method for Burgers-Huxley and Burgers-Fisher equations, Appl. Math. Comput. 159 (2004) 291-301] employed the Adomian decomposition method (ADM) to solve, in particular, a generalized nonlinear Huxley equation. The purpose of this note is to correct Ismail et al.'s numerical solutions of the generalized Huxley equation. In addition, a convergence proof of the ADM applied to the generalized Huxley equation is also given.

KW - Adomian decomposition method

KW - Huxley equation

KW - Nonlinear PDE

UR - http://www.scopus.com/inward/record.url?scp=33750481227&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33750481227&partnerID=8YFLogxK

U2 - 10.1016/j.amc.2006.03.011

DO - 10.1016/j.amc.2006.03.011

M3 - Article

VL - 181

SP - 1439

EP - 1445

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

SN - 0096-3003

IS - 2

ER -