On a new reliable modification of homotopy analysis method

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87 Citations (Scopus)

Abstract

In this paper, a new modification of the homotopy analysis method (HAM) is presented and applied to homogeneous or non-homogeneous differential equations with constant or variable coefficients. A comparative study between the new modified homotopy analysis method (MHAM) and the classical HAM is conducted. The main advantage of MHAM is that one can avoid the uncontrollability problems of the non-zero endpoint conditions encountered in the traditional HAM. Several illustrative examples are given to demonstrate the effectiveness and reliability of MHAM.

Original languageEnglish
Pages (from-to)409-423
Number of pages15
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume14
Issue number2
DOIs
Publication statusPublished - Feb 2009

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Homotopy Analysis Method
Differential equations
differential equations
coefficients
Variable Coefficients
Comparative Study
Differential equation
Demonstrate

Keywords

  • Homotopy analysis method
  • Modified homotopy analysis method
  • Non-linear equations

ASJC Scopus subject areas

  • Mechanical Engineering
  • Statistical and Nonlinear Physics

Cite this

On a new reliable modification of homotopy analysis method. / Sami Bataineh, A.; Md. Noorani, Mohd. Salmi; Hashim, Ishak.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 14, No. 2, 02.2009, p. 409-423.

Research output: Contribution to journalArticle

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