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arXiv · 2106.09928

A transformation-based approach for solving stiff two-point boundary value problems

Denys Dragunov
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Abstract

A new approach for solving stiff boundary value problems for systems of ordinary differential equations is presented. Its idea essentially generalizes and extends that from arXiv:1601.04272v8. The approach can be viewed as a methodology framework that allows to enhance "stiffness resistance" capabilities of pretty much all the known numerical methods for solving two-point BVPs. The latter is demonstrated on the example of the {\it trapezoidal scheme} with the corresponding C++ source code available at \url{https://github.com/imathsoft/MathSoftDevelopment}. Results of numerical experiments are provided to support the theoretical conclusions.

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Denys Dragunov. 2021-06-18. A transformation-based approach for solving stiff two-point boundary value problems. https://arxiv.org/abs/2106.09928

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