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Flexibility and Efficiency of New Analytical Method for Solving Systems of Linear and Nonlinear Differential Equations

Journal Name:

  • International Journal of Science and Engineering Investigations

Publication Year:

  • 2013

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
In this paper, the Laplace Iteration Method (LIM) technique has been successfully applied to find approximate solution to the systems of linear and nonlinear equations specially coupled Schrodinger-KdV equations. The algorithm overcame the difficulty arising from the calculation of intricately nonlinear terms. Besides, it provided a simple way to ensure the convergence of series solution so that accurate enough approximations could be always obtained. Till now the LIM technique has been successfully applied to many nonlinear problems in science and engineering, all of which have verified the great potential and validity of the LIM technique in comparison with Variational Iteration Method (VIM) for strongly nonlinear problems in science and engineering.
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  • 18
44-51
  • English

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