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All Journal Epsilon: Jurnal Matematika Murni dan Terapan
Dita Apriliani
Program Studi Matematika FMIPA Universitas Lambung Mangkurat
Decision Sciences, Operations Research & Management Transportation

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KEKONVERGENAN SOLUSI PERSAMAAN DIFERENSIAL BIASA ORDE SATU MENGGUNAKAN METODE ITERASI VARIASIONAL Dita Apriliani; Akhmad Yusuf; Mohammad Mahfuzh Shiddiq
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 11, No 1 (2017): JURNAL EPSILON VOLUME 11 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (159.026 KB) | DOI: 10.20527/epsilon.v11i1.112

Abstract

Ordinary differential equation (ODE) is an equation involving derivatives of one or more dependent variables with respect to single independent variable. ODE is grouped into two part; linear and nonlinear. There are some methods to determine the solution of nonlinear ODE, one of them is Variational Iteration Method. This method create a correction functional using general Lagrange multiplier and a restricted variational. The purpose of this research is to prove convergence and solution ordinary differential equation using variational iteration method. This study was conducted by literary method. This result is show that If operator of correction satisfy contraction inequality ‖????????????????+1‖≤???????? ‖????????????????‖ where 0<????????<1, then series solution from differential equation nonlinear converge to exact solution and can be used to determine the nonlinear solution.
Co-Authors Mohammad Mahfuzh Shiddiq