On error bound for local truncation error of an explicit iterative algorithm in ordinary differential equations.

Sania Qureshi; Muhammad Saleem Chandio; Ishtiaque Ahmed Junejo; Asif Ali Shaikh; Zaib-Un- Nisa Memon

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On error bound for local truncation error of an explicit iterative algorithm in ordinary differential equations.

Author(s)

Sania Qureshi Lecturer, Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Sindh, Pakistan

Muhammad Saleem Chandio Institute of Mathematics and Computer Science, University of Sindh, Jamshoro, Sindh, Pakistan

Ishtiaque Ahmed Junejo Department of Statistics, University of Sindh, Jamshoro, Sindh, Pakistan

Asif Ali Shaikh Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Sindh, Pakistan

Zaib-Un- Nisa Memon Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Sindh, Pakistan

Abstract

Principal error function and error bound on step length for local truncation error of a second order explicit iterative algorithm proposedin [1] are formulated with the help of Taylor’s expansion and Lotkin’s conditions discussed in [2]. Error bounds of two standard second order iterative algorithms called Ralston and Improved Euler have been chosen to compare with error bound of proposed algorithm where proposed algorithm is found to have longer step length than rest of the two and the same is confirmed by a few numerical experiments discussed.

Publication Details

Page(s) 547-549

DOI DOI not available

Published Journal: Science International, Volume: 26, Issue: 2, Year: 2014

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