TY - JOUR
TI - A multipole fast asymptotic algorithm for a class of equations based on the flow function method with fractional order Laplace transform
AU - Deng Shuxian
AU - Ji Wenguang
JN - Thermal Science
PY - 2024
VL - 28
IS - 3
SP - 2361
EP - 2370
PT - Article
AB - As a mature and reliable method, this study is based on the flow function  method for mathematical modeling and establishes a class of mathematical  models that are approximately realistic, flexible, and easy to calculate.  According to the characteristics of fractional order calculus, the initial  boundary conditions are modified and optimized to reduce the model error of  this class of equations. According to the minimum energy principle and  linearized integral calculation method, the multi-field multi-parameter  non-linear coupling problem in the calculation process is solved, and the  rapid calculation of the initial boundary model is realized. The accuracy  of the model is tested by numerical simulation and simulation validation of  different processes. A reliable theoretical and technical support is  provided for the calculation of this type of equations.