PERFORMANCE OF MODIFIED NON-LINEAR SHOOTING METHOD FOR SIMULATION OF 2ND ORDER TWO-POINT BVPS

Authors

  • Abdul Manaf Ibnu Sina Institute, Department of Science Mathematical, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor Malaysia
  • Norma Alias Center for Sustainable Nanomaterials (CSNano), Ibnu Sina Institute for Scientific and Industrial Research, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia
  • Mustafa Habib Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan.

DOI:

https://doi.org/10.11113/jt.v78.9541

Keywords:

Shooting method, predictor-corrector scheme, Runge-Kutta method, BVPs, ODEs

Abstract

In this research article, numerical solution of nonlinear 2nd order two-point boundary value problems (TPBVPs) is discussed by the help of nonlinear shooting method (NLSM), and through the modified nonlinear shooting method (MNLSM). In MNLSM, fourth order Runge-Kutta method for systems is replaced by Adams Bashforth Moulton method which is a predictor-corrector scheme. Results acquired numerically through NLSM and MNLSM of TPBVPs are discussed and analyzed. Results of the tested problems obtained numerically indicate that the performance of MNLSM is rapid and provided desirable results of TPBVPs, meanwhile MNLSM required less time to implement as comparable to the NLSM for the solution of TPBVPs.

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Published

2016-08-04

How to Cite

PERFORMANCE OF MODIFIED NON-LINEAR SHOOTING METHOD FOR SIMULATION OF 2ND ORDER TWO-POINT BVPS. (2016). Jurnal Teknologi (Sciences & Engineering), 78(8-2). https://doi.org/10.11113/jt.v78.9541