Publication result detail

APPLICATION OF HOMOTOPY PERTURBATION METHOD TO SOLVING SINGULAR INITIAL VALUE PROBLEMS

ŠMARDA, Z.; HALFAROVÁ, H.; KUKHARENKO, O.

Original Title

APPLICATION OF HOMOTOPY PERTURBATION METHOD TO SOLVING SINGULAR INITIAL VALUE PROBLEMS

English Title

APPLICATION OF HOMOTOPY PERTURBATION METHOD TO SOLVING SINGULAR INITIAL VALUE PROBLEMS

Type

Paper in proceedings (conference paper)

Original Abstract

In this paper we present the homotopy perturbation method. We apply the method to solve a class of singular initial value problems for the second-order and the thirdorder ordinary differential equations. The homotopy perturbation method yields solutions in convergent series forms with easily computable terms, and in presented examples, this method gives exact solutions.

English abstract

In this paper we present the homotopy perturbation method. We apply the method to solve a class of singular initial value problems for the second-order and the thirdorder ordinary differential equations. The homotopy perturbation method yields solutions in convergent series forms with easily computable terms, and in presented examples, this method gives exact solutions.

Keywords

homotopy perturbation method

Key words in English

homotopy perturbation method

Authors

ŠMARDA, Z.; HALFAROVÁ, H.; KUKHARENKO, O.

RIV year

2013

Released

08.02.2012

Location

Bratislava

ISBN

978-80-89313-58-7

Book

Proceedings of the 11 th International Conference - Aplimat 2012

Pages from

147

Pages to

152

Pages count

6

BibTex

@inproceedings{BUT89908,
  author="Zdeněk {Šmarda} and Hana {Boháčková} and Oleksandra {Kukharenko}",
  title="APPLICATION OF HOMOTOPY PERTURBATION METHOD TO SOLVING SINGULAR INITIAL VALUE PROBLEMS",
  booktitle="Proceedings of the 11 th International Conference - Aplimat 2012",
  year="2012",
  pages="147--152",
  address="Bratislava",
  isbn="978-80-89313-58-7"
}