Solving the first Painleve equation using the Sinc-Galerkin method

Authors

  • Ali Salimi shamloo ?Department of Mathematics, Islamic Azad University, Shabestar Branch, Iran
  • Mehrnoosh Eskandarnezhad
  • Sedaghat Shahmorad

DOI:

https://doi.org/10.14419/ijamr.v2i1.544

Published:

2012-12-04

Abstract

The main goal of this paper is to solve the ?rst Painleve equation using the sinc-Galerkin method. In order to obtain this goal, we ?rst describe brie?y the sinc-Gelrkin method, and then we apply it to the ?rst Painleve equation. At last, the numerical result is shown to demonstrate the power and accuracy of the method.

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