Solving First-Order Differential Equations of Z-Numbers’ Initial Value Using Radial Basic Function
Joint Authors
Allahviranloo, T.
Qalehe, Leila
Afshar Kermani, Mozhdeh
Source
International Journal of Differential Equations
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, a method was proposed based on RBF for numerical solution of first-order differential equations with initial values that are valued by Z-numbers.
The proposed method consists of two parts.
The first part has stated the amount of limitation of the fragmentation solution, while the second part has described the assurance of the first part.
The limitation section also has two parts.
The first part has included the initial condition of the problem, while the second part has included the RBF network.
The confidence interval was also considered as a function based on the probability function, which has calculated the confidence level of the first part (limitation).
The RBF network or the radial-base grid network has three distinct layers: the input layer that is the set of elementary nodes (sensory units); the second layer is the hidden layers with high dimensions, in which the output layer that has responded to the network response and the activation patterns used in the input layer.
The advantage of using RBF is that the use of this technique does not require sufficient information.
It only relies on the domain and the boundary.
In an example, we have showed that our proposed approach could approximate the problem with acceptable confidence.
American Psychological Association (APA)
Qalehe, Leila& Afshar Kermani, Mozhdeh& Allahviranloo, T.. 2020. Solving First-Order Differential Equations of Z-Numbers’ Initial Value Using Radial Basic Function. International Journal of Differential Equations،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1169949
Modern Language Association (MLA)
Qalehe, Leila…[et al.]. Solving First-Order Differential Equations of Z-Numbers’ Initial Value Using Radial Basic Function. International Journal of Differential Equations No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1169949
American Medical Association (AMA)
Qalehe, Leila& Afshar Kermani, Mozhdeh& Allahviranloo, T.. Solving First-Order Differential Equations of Z-Numbers’ Initial Value Using Radial Basic Function. International Journal of Differential Equations. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1169949
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1169949