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Numerical Solution of Sixth-Order Differential Equations Arising in Astrophysics by Neural Network

by M. Khalid, Mariam Sultana, Faheem Zaidi
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 107 - Number 6
Year of Publication: 2014
Authors: M. Khalid, Mariam Sultana, Faheem Zaidi
10.5120/18752-0023

M. Khalid, Mariam Sultana, Faheem Zaidi . Numerical Solution of Sixth-Order Differential Equations Arising in Astrophysics by Neural Network. International Journal of Computer Applications. 107, 6 ( December 2014), 1-6. DOI=10.5120/18752-0023

@article{ 10.5120/18752-0023,
author = { M. Khalid, Mariam Sultana, Faheem Zaidi },
title = { Numerical Solution of Sixth-Order Differential Equations Arising in Astrophysics by Neural Network },
journal = { International Journal of Computer Applications },
issue_date = { December 2014 },
volume = { 107 },
number = { 6 },
month = { December },
year = { 2014 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume107/number6/18752-0023/ },
doi = { 10.5120/18752-0023 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:40:19.912169+05:30
%A M. Khalid
%A Mariam Sultana
%A Faheem Zaidi
%T Numerical Solution of Sixth-Order Differential Equations Arising in Astrophysics by Neural Network
%J International Journal of Computer Applications
%@ 0975-8887
%V 107
%N 6
%P 1-6
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In the current paper, a neural network method to solve sixth-order differential equations and their boundary conditions has been presented. The idea this method incorporates is to integrate knowledge about the differential equation and its boundary conditions into neural networks and the training sets. Neural networks are being used incessantly to solve all kinds of problems hailing a wide range of disciplines. Several examples are given to illustrate the efficiency and implementation of the Neural Network method.

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Index Terms

Computer Science
Information Sciences

Keywords

Sixth Order Differential Equation Boundary Conditions Neural Network

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