Numerical Solution of Some Differential Equations with Henstock–Kurzweil Functions
Joint Authors
Escamilla Reyna, Juan Alberto
León-Velasco, D. A.
Morín-Castillo, M. M.
Oliveros-Oliveros, J. J.
Pérez-Becerra, T.
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-12-28
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this work, the Finite Element Method is used for finding the numerical solution of an elliptic problem with Henstock–Kurzweil integrable functions.
In particular, Henstock–Kurzweil high oscillatory functions were considered.
The weak formulation of the problem leads to integrals that are calculated using some special quadratures.
Definitions and theorems were used to guarantee the existence of the integrals that appear in the weak formulation.
This allowed us to apply the above formulation for the type of slope bounded variation functions.
Numerical examples were developed to illustrate the ideas presented in this article.
American Psychological Association (APA)
León-Velasco, D. A.& Morín-Castillo, M. M.& Oliveros-Oliveros, J. J.& Pérez-Becerra, T.& Escamilla Reyna, Juan Alberto. 2019. Numerical Solution of Some Differential Equations with Henstock–Kurzweil Functions. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1174941
Modern Language Association (MLA)
León-Velasco, D. A.…[et al.]. Numerical Solution of Some Differential Equations with Henstock–Kurzweil Functions. Journal of Function Spaces No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1174941
American Medical Association (AMA)
León-Velasco, D. A.& Morín-Castillo, M. M.& Oliveros-Oliveros, J. J.& Pérez-Becerra, T.& Escamilla Reyna, Juan Alberto. Numerical Solution of Some Differential Equations with Henstock–Kurzweil Functions. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1174941
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174941