Performance of modified non-linear shooting method for simulation of 2nd order two-point BVPS
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 b...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit UTM Press
2016
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/74598/1/AbdulManaf2016_PerformanceofModifiedNonLinearShooting.pdf http://eprints.utm.my/id/eprint/74598/ https://www.scopus.com/inward/record.uri?eid=2-s2.0-84988430442&doi=10.11113%2fjt.v78.9541&partnerID=40&md5=a1922c75a8e59b0e4cc8bdcb40dd2c20 |
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| Summary: | 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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