Solving differential equations with z-numbers data by gaussian radial basic function

Küçük Resim Yok

Tarih

2025

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

World scientific

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

Developing a novel and practical method based on the radial-base grid network (RBF) as well as the third-order polynomial of the exponential function (f(t) = e(t)) in order to solve the first-order differential equations based on Z-numbers is the aim of this paper. It is worth mentioning that the advantage of the proposed RBF is that sufficient information is not required. The RBF contains three distinct layers as follows: the input layer including the elementary nodes; the second layer including the hidden layers via high dimensions; and the output layer for responding and activating the patterns of the input layer. The obtained results revealed that this method could solve and approximate such problems under acceptable confidence.

Açıklama

Anahtar Kelimeler

First-Order Differential Equations, RBF, Z-Numbers

Kaynak

New mathematics and natural computation

WoS Q Değeri

N/A

Scopus Q Değeri

Q3

Cilt

Sayı

Künye

Qalehe, L., Kermani, M. A., & Allahviranloo, T. (2025). Solving Differential Equations with Z-numbers data by Gaussian Radial Basic Function. New Mathematics and Natural Computation.