2021/06/18 by Denys Dragunov, Dragunov, Denys
Engineering · Mathematics · #65L04 #65L10 #65L20 #65L50 #65Y15 #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
paper · pdf · doi:10.48550/arxiv.2106.09928
openalex publication_date 2021/06/18 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28
A new approach for solving stiff boundary value problems for systems of\nordinary differential equations is presented. Its idea essentially generalizes\nand extends that from arXiv:1601.04272v8. The approach can be viewed as a\nmethodology framework that allows to enhance "stiffness resistance"\ncapabilities of pretty much all the known numerical methods for solving\ntwo-point BVPs. The latter is demonstrated on the example of the it\ntrapezoidal scheme with the corresponding C++ source code available at\n urlhttps://github.com/imathsoft/MathSoftDevelopment. Results of numerical\nexperiments are provided to support the theoretical conclusions.\n