<p>In this paper, we present an combination of grammatical evolution and least squares support vector regression for solving the Falkner-Skan equation, which arises in real-world and engineering applications, symbolically. Properly selecting the transformation functions is crucial for utilizing least squares support vector regression, as it directly impacts the accuracy of the solutions. In this study, the transformation functions are determined using a powerful genetic programming algorithm called grammatical evolution. The experimental results demonstrate that the proposed method is a capable and powerful approach for solving nonlinear ordinary differential equations.</p>

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GELS-SVR: a combination of grammatical evolution and least squares support vector regression for symbolic solution to Falkner-Skan equation

  • Hassan Dana Mazraeh,
  • Kourosh Parand

摘要

In this paper, we present an combination of grammatical evolution and least squares support vector regression for solving the Falkner-Skan equation, which arises in real-world and engineering applications, symbolically. Properly selecting the transformation functions is crucial for utilizing least squares support vector regression, as it directly impacts the accuracy of the solutions. In this study, the transformation functions are determined using a powerful genetic programming algorithm called grammatical evolution. The experimental results demonstrate that the proposed method is a capable and powerful approach for solving nonlinear ordinary differential equations.