A New Approach of Iteration Method for Solving Some Nonlinear Jerk Equations

B.M. Ikramul Haque

Authors

B.M. Ikramul Haque

jerk equations, nonlinear oscillator, iteration method

Abstract

A new approach of the Mickens' iteration method has been presented to obtain approximate analytic solutions of some nonlinear jerk equations. It has been shown that the partial derivatives of integral functions are valid for iteration method in each step of iteration. Also the solutions give more accurate result than other existing methods.

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A New Approach of Iteration Method for Solving Some Nonlinear Jerk Equations. (2013). Global Journal of Science Frontier Research, 13(52), 87-98. https://journalofscience.org/index.php/GJSFR/article/view/

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Author Biography

B.M. Ikramul Haque

B.M. Ikramul Haque is a Professor at the Department of Mathematics, Khulna University of Engineering & Technology (KUET) in Khulna, Bangladesh. He holds a Ph.D. in Mathematics from KUET with a focus on Nonlinear Dynamical Systems. He has also been affiliated with Rajshahi University of Engineering and Technology and the University of Rajshahi. His research interests include Nonlinear Dynamical Systems. He has published over 138 papers, with an h-index of 29 and an i10-index of 54, and his ORCID is 0000-0002-0836-3864.

References

M. Alam, Md. Haque, Hossain B. A new analytical technique to find periodic solutions of nonlinear systems. 24, 1035-.

A. Arneodo, P. Coullet, E. Spigel Chaos in a finite macroscopic system.