METODE SECANT-MIDPOINT NEWTON UNTUK MENYELESAIKAN PERSAMAAN NONLINEAR

Authors

  • Supriadi Putra Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Riau

DOI:

https://doi.org/10.24014/sitekin.v11i1.561

Keywords:

Metode Newton, Metode Midpoint Newton, Metode Secant, Metode Secant-Midpoint Newton, Orde Kekonvergenan.

Abstract

Pada artikel ini akan dibahas metode baru yang dikembangkan dari kombinasi metode Secant dan metode Midpoint Newton untuk menyelesaikan persamaan nonlinear. Penerapan metode Midpoint Newton yang memiliki orde kekonvergenan tiga kedalam metode Secant yang memiliki orde kekonvergenan superlinear akan menghasilkan metode dengan orde  kekonvergenan empat. Uji komputasi akan diberikan untuk menunjukkan bahwa metode baru ini cukup sebanding dengan metode Secant-Trapesium Newton yang diusulkan oleh Jain [2] terhadap beberapa contoh persamaan nonlinear.

Author Biography

Supriadi Putra, Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Riau


     

References

Atkinson. K.E. (1989), An Introduction to Numerical Analysis, second ed., John Wiley & Sons, New York.

Jain, D. (2013). Family of Newton-like methods with fourt-order convergence. Int. of Journal Computer Mathematics, DOI:10.1080/00207160.2012.746670.

Sharma, J.R. Guha, R.K. and Sharma R,. (2011). Some modified newton’s methods with fourth-order convergence, Advances in applied Science Research, 2(1): 240-247.

Frontini M., Sormani E, (2003), Some variants of Newton’s method with third-order convergence, Appl. Math. Comput. 140, 419–426.

Ozban, A.Y. (2004). Some New Variants of Newton’s Methods, App. Math. Letter 17, 677-682.

Weerakoon, S. & Fernando, T. G. I. 2000. A variant of Newton’s Method With Accelerated Third-Order Convergence. Applied Mathematics Letters. 13: 87–93.

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Published

2014-11-04

Issue

Vol. 11 No. 1 (2013): Desember 2013

Section

Articles

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