2016/01/17 by В. Л. Макаров, Makarov, V. L., Denys Dragunov +1
Engineering · Mathematics · Physics and Astronomy · #65L04 #65L05 #65L10 #65L20 #65L50 #65Y15 #FOS: Mathematics #Fractional Differential Equations Solutions #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods in engineering
paper · pdf · doi:10.48550/arxiv.1601.04272
openalex publication_date 2016/01/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
A new method for solving stiff boundary value problems is described and compared to other known approaches using the Troesch's problem as a test example. The method is based on the general idea of alternate approximation of either the unknown function or its inverse and has a genuine "immunity" towards numerical difficulties invoked by the rapid variation (stiffness) of the unknown solution. A c++ implementation of the proposed method is available at https://github.com/imathsoft/MathSoftDevelopment .