A newly modified variational iteration method for solving nonlinear differential equations

R. Yulita Molliq, Mohd. Salmi Md. Noorani

Research output: Contribution to journalArticle

Abstract

This paper presents a new reliable modification of the variational iteration method (MoVIM). An enlarged interval of convergence region of series solutions is obtained by inserting a nonzero auxiliary parameter (h) into the correction functional of variational iteration method. Approximate analytical solutions for some examples of nonlinear problems are obtained using variational iteration method. Comparison with the exact solution, Runge-Kutta method 4, and also another modified variational iteration method has shown that MoVIM is an accurate method for solving nonlinear problems.

Original languageEnglish
Article number1350029
JournalInternational Journal of Computational Methods
Volume10
Issue number5
DOIs
Publication statusPublished - Oct 2013

Fingerprint

Variational Iteration Method
Runge Kutta methods
Nonlinear Differential Equations
Differential equations
Nonlinear Problem
Series Solution
Runge-Kutta Methods
Analytical Solution
Exact Solution
Interval

Keywords

  • KdV equations
  • Lagrange multiplier
  • Lotka-Volterra equations
  • modified variational iteration method
  • nonlinear ODEs
  • Variational iteration method

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Computational Mathematics

Cite this

A newly modified variational iteration method for solving nonlinear differential equations. / Molliq, R. Yulita; Md. Noorani, Mohd. Salmi.

In: International Journal of Computational Methods, Vol. 10, No. 5, 1350029, 10.2013.

Research output: Contribution to journalArticle

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