Pathfollowing with automatic step-length control implemented in the new Matlab package bvpsuite2.0

Abstract

This thesis had the main objective of the implementation of a path-following module to complete the Matlab package bvpsuite2.0. In preparation for the implementation, the pseudo-arclength continuation method was studied. This method was adapted for the already existing code bvpsuite2.0. Also, the package was adapted, where required, to suit the new functionality. Moreover, some features were implemented in the function, that would allow tackling a broad range of problems. The implementation is tested in various examples. The second objective in this thesis was the preparation of a manual, which would help users of bvpsuite2.0, to use the package as intended. Finally, reports on simulations with bvpsuite2.0 that were carried out in collaboration with various researchers are given.