Series expansion of functions with He's homotopy perturbation method

• Autores: Sanjay K. Khattri
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 43, Nº. 5, 2012, págs. 677-684
• Idioma: inglés
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• Resumen

  • Finding a series expansion, such as Taylor series, of functions is an important mathematical concept with many applications. Homotopy perturbation method (HPM) is a new, easy to use and effective tool for solving a variety of mathematical problems. In this study, we present how to apply HPM to obtain a series expansion of functions. Consequently, this article presents an alternative approach, contrary to the traditional Taylor series method, for finding a series expansion of functions. The developed approach can be incorporated in an undergraduate course.