Exponentially fitted explicit hybrid method for solving special second order initial value problems

Fudziah Ismail, Samat Faieza, Mohamed Suleiman, Norihan Md Ariffin

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The aim of the research is to improve the existing Hybrid method, so that it is more efficient in solving special second order ordinary differential equations of the form y″ = f(x,y), y(x0) = y0, y′(x0) = y′0 which has solutions which are periodic or oscillating. Based on the existing Hybrid method derived by Chawla we constructed the exponentially fitted hybrid method using the technique introduced by Simos and Vigo-Aguiar, resulting in an exponentially fitted hybrid method. The method can be used to solve special second order ordinary differential equations which have oscillating solutions. Numerical experiments based on the exponentially fitted hybrid method and the non exponentially fitted method are tabulated and compared in terms of accuracy, which clearly shown that the exponentially fitted method is more accurate.

Original languageEnglish
Title of host publicationICMS - International Conference on Mathematical Science
Pages467-473
Number of pages7
Volume1309
DOIs
Publication statusPublished - 2010
Externally publishedYes
EventInternational Conference on Mathematical Science, ICMS - Bolu
Duration: 23 Nov 201027 Nov 2010

Other

OtherInternational Conference on Mathematical Science, ICMS
CityBolu
Period23/11/1027/11/10

Fingerprint

boundary value problems
differential equations

Keywords

  • Exponentially fitted
  • Hybrid method
  • ordinary differential equations
  • special second order

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Ismail, F., Faieza, S., Suleiman, M., & Md Ariffin, N. (2010). Exponentially fitted explicit hybrid method for solving special second order initial value problems. In ICMS - International Conference on Mathematical Science (Vol. 1309, pp. 467-473) https://doi.org/10.1063/1.3525148

Exponentially fitted explicit hybrid method for solving special second order initial value problems. / Ismail, Fudziah; Faieza, Samat; Suleiman, Mohamed; Md Ariffin, Norihan.

ICMS - International Conference on Mathematical Science. Vol. 1309 2010. p. 467-473.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Ismail, F, Faieza, S, Suleiman, M & Md Ariffin, N 2010, Exponentially fitted explicit hybrid method for solving special second order initial value problems. in ICMS - International Conference on Mathematical Science. vol. 1309, pp. 467-473, International Conference on Mathematical Science, ICMS, Bolu, 23/11/10. https://doi.org/10.1063/1.3525148
Ismail F, Faieza S, Suleiman M, Md Ariffin N. Exponentially fitted explicit hybrid method for solving special second order initial value problems. In ICMS - International Conference on Mathematical Science. Vol. 1309. 2010. p. 467-473 https://doi.org/10.1063/1.3525148
Ismail, Fudziah ; Faieza, Samat ; Suleiman, Mohamed ; Md Ariffin, Norihan. / Exponentially fitted explicit hybrid method for solving special second order initial value problems. ICMS - International Conference on Mathematical Science. Vol. 1309 2010. pp. 467-473
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