Title
Stochastic numerical approach for solving second order nonlinear singular functional differential equation
Date Issued
15 December 2019
Access level
metadata only access
Resource Type
journal article
Author(s)
Sabir, Zulqurnain
Wahab H.A.
Umar M.
Erdoğan F.
Hazara University Mansehra
Publisher(s)
Elsevier Inc.
Abstract
A new computational intelligence numerical scheme is presented for the solution of second order nonlinear singular functional differential equations (FDEs) using artificial neural networks (ANNs), global operator genetic algorithms (GAs), efficient local operator interior-point algorithm (IPA), and the hybrid combination of GA-IPA. An unsupervised error function is assembled for the DDE optimized by ANNs using the hybrid combination of GA-IPA. Three kinds of the second order nonlinear singular DDEs have been solved numerically and compared their results with the exact solutions to authenticate the performance and exactness of the present designed scheme. Moreover, statistical analysis based on Mean absolute deviation, Theil's inequality coefficient and Nash Sutcliffe efficiency is also performed to validate the convergence and accuracy of the present scheme.
Volume
363
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Sistemas de automatización, Sistemas de control
Subjects
Scopus EID
2-s2.0-85073640316
Source
Applied Mathematics and Computation
ISSN of the container
00963003
Sources of information:
Directorio de Producción Científica
Scopus