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Special functions for solving nonlinear differential equations
  • Ji-huan He
Ji-huan He
Soochow University

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This paper shows the special functions are a mathematical tool to solving nonlinear equations. The gamma function is used as an example to show the one-step solution process for a special nonlinear oscillator. Comparison with the exact solution and the approximate solution obtained by the homotopy perturbation method reveals the gamma function method is extremely simple and remarkably accurate.
Jun 2021Published in International Journal of Applied and Computational Mathematics volume 7 issue 3. 10.1007/s40819-021-01026-1