Fanqi Yan

Fanqi Yan

PhD student at Data Science and Machine Learning (DSML) Lab, UT Austin

Numerical Iterative Solutions to Two-Point Boundary Value Problems for Nonlinear Differential Equations

Undergraduate Research, ZJU, 2016

  • Advisor: Prof. Xiaoliang Cheng
  • Date: Jun 2015 - May 2016
  • Designed MATLAB algorithm for the $Ka\breve{c}anov$ method, an iteration method for solving nonlinear problems via linearization
  • Analyzed the convergence and the effectiveness of the method on different nonlinear PDEs
  • Proposed a novel composite $Ka\breve{c}anov$ method with a wider application range, higher accuracy, and faster convergence speed
  • Derived the analytical solutions to a special type of strain-limiting nonlinear elastic models, Inspired by the image patterns of numerical experiments