On comparison of approximate solutions for linear and nonlinear schrodinger equations

Zeliha Korpinar

Resumo


 

In this paper, homotopy analysis transform method and residual power series method for solving linear and nonlinear Schrödinger equations are introduced. Residual power series algorithm gets Maclaurin expansion of the numerical soliton solutions. The solutions of our equations are computed in the form of rapidly convergent series with easily calculable components by using mathematica software package. Reliability of methods are given graphical consequens and series solutions are made use of to illustrate the solution. The approximate solutions are compared with the known exact solutions.

 


Palavras-chave


residual power series method; homotopy analysis transform method; Schrödinger equations.

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DOI: http://dx.doi.org/10.4025/actascitechnol.v41i1.36596



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ISSN 1806-2563 (impresso) e ISSN 1807-8664 (on-line) e-mail: actatech@uem.br

  

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