An improved parameter regula falsi method for enclosing a zero of a function

Norhaliza Abu Bakar, Mansor Monsi, Nasruddin Hassan

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

An improved parameter regula falsi method p(l)-RF based on a direct generalization of the interval parameter regula falsi p-RF method is proposed in this paper. This method is modified by using the midpoint of the current interval in the algorithm and the additional inner iterations l to improve its rate of convergence. This modification on p-RF method is then verified on several test examples. Based on the numerical results and CPU time of p(l)-RF method, it is very clear that this method performs very well compared to the original method.

Original languageEnglish
Pages (from-to)1347-1361
Number of pages15
JournalApplied Mathematical Sciences
Volume6
Issue number25-28
Publication statusPublished - 2012

Fingerprint

Zero of a function
Program processors
Interval
Midpoint
CPU Time
Rate of Convergence
Iteration
Numerical Results

Keywords

  • CPU time
  • Interval analysis
  • Parameter regula falsi
  • Rate of convergence
  • Zero of a function

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Abu Bakar, N., Monsi, M., & Hassan, N. (2012). An improved parameter regula falsi method for enclosing a zero of a function. Applied Mathematical Sciences, 6(25-28), 1347-1361.

An improved parameter regula falsi method for enclosing a zero of a function. / Abu Bakar, Norhaliza; Monsi, Mansor; Hassan, Nasruddin.

In: Applied Mathematical Sciences, Vol. 6, No. 25-28, 2012, p. 1347-1361.

Research output: Contribution to journalArticle

Abu Bakar, N, Monsi, M & Hassan, N 2012, 'An improved parameter regula falsi method for enclosing a zero of a function', Applied Mathematical Sciences, vol. 6, no. 25-28, pp. 1347-1361.
Abu Bakar, Norhaliza ; Monsi, Mansor ; Hassan, Nasruddin. / An improved parameter regula falsi method for enclosing a zero of a function. In: Applied Mathematical Sciences. 2012 ; Vol. 6, No. 25-28. pp. 1347-1361.
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