Next Article in Journal
The Zahl-Anzahl Distinction in Gottlob Frege: Arithmetic of Natural Numbers with Anzahl as a Primitive Term
Next Article in Special Issue
On the Numerical Solution of Ordinary, Interval and Fuzzy Differential Equations by Use of F-Transform
Previous Article in Journal
On a Common Jungck Type Fixed Point Result in Extended Rectangular b-Metric Spaces
Previous Article in Special Issue
Relational Variants of Lattice-Valued F-Transforms
Open AccessArticle

F-Transform Inspired Weak Solution to a Boundary Value Problem

Institute for Research and Applications of Fuzzy Modelling, NSC IT4Innovations, University of Ostrava, 701 03 Ostrava, Czech Republic
*
Author to whom correspondence should be addressed.
This paper is an extended version of our paper published in 2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), New Orleans, LA, USA, 23–26 June 2019.
Received: 30 October 2019 / Revised: 18 December 2019 / Accepted: 18 December 2019 / Published: 31 December 2019
(This article belongs to the Special Issue Fuzzy Transforms and Their Applications)
We propose and show efficiency of a new fuzzy-transform-based numerical method of solving ordinary differential equations with boundary conditions. The focus is on weak solutions and a special construction of a two-parameterized family of test functions. On theoretical and computational levels, we show how the proposed technique relates to and outperforms the Ritz–Galerkin method. We emphasize the importance of the proposed technique by considering its application to a real-life problem—the option pricing policy. View Full-Text
Keywords: boundary valued problem; numerical method; variational method; fuzzy partition; F-transform boundary valued problem; numerical method; variational method; fuzzy partition; F-transform
Show Figures

Figure 1

MDPI and ACS Style

Nguyen, L.; Perfilieva, I.; Holčapek, M. F-Transform Inspired Weak Solution to a Boundary Value Problem. Axioms 2020, 9, 5.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop