@inproceedings{1c380d68fefe476a8ef9e2b2f2ac0622,
title = "Collocation method for linear BVPs via B-spline based fuzzy transform",
abstract = "The paper is devoted to an application of a modified F-transform technique based on B-splines in solving linear boundary value problems via the collocation method. An approximate solution is sought as a composite F-transform of a discrete function (which allows the solution to be compactly stored as the values of this discrete function). We demonstrate the effectiveness of the described technique with numerical examples, compare it with other methods and propose theoretical results on the order of approximation when the fuzzy partition is based on cubic B-splines.",
keywords = "Boundary value problem, Collocation, Fuzzy transform",
author = "Martins Kokainis and Svetlana Asmuss",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG, part of Springer Nature 2018.; 17th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2018 ; Conference date: 11-06-2018 Through 15-06-2018",
year = "2018",
doi = "10.1007/978-3-319-91476-3\_16",
language = "English",
isbn = "9783319914756",
series = "Communications in Computer and Information Science",
publisher = "Springer Verlag",
pages = "187--198",
editor = "Verdegay, \{Jose Luis\} and Pelta, \{David A.\} and Bernadette Bouchon-Meunier and Yager, \{Ronald R.\} and Jesus Medina and Manuel Ojeda-Aciego and Cabrera, \{Inma P.\}",
booktitle = "Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations - 17th International Conference, IPMU 2018, Proceedings",
address = "Germany",
}