@inproceedings{ebaff310c8884fb0b8c8a0f8c6eacd99,
title = "Numerical solution of a class of singular boundary value problems arising in physiology based on neural networks",
abstract = "In this paper, a soft computing approach based on neural networks is presented for the numerical solution of a class of singular boundary value problems (SBVP) arising in physiology. The mathematical model of artificial neural network (ANN) is developed in a way to satisfy the boundary conditions exactly using log-sigmoid activation function in hidden layers. Training of the neural network parameters was performed by gradient descent backpropagation algorithm with sufficient number of independent runs. Two test problems from physical applications have been considered to check the accuracy and efficiency of the method. Proposed results for the solution of SBVP have been compared with the exact analytical solution as well as the solution obtained by the existing numerical methods and shows good agreement with others.",
keywords = "Gradient descent algorithm, Neural networks, Singular boundary value problem",
author = "Neha Yadav and Kim, {Joong Hoon} and Anupam Yadav",
note = "Funding Information: This work was supported by National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIP) (NRF-2013R1A2A1A01013886) and the Brain Korea 21 (BK-21) fellowship from the Ministry of Education of Korea. Publisher Copyright: {\textcopyright} Springer Science+Business Media Singapore 2016.; 5th International Conference on Soft Computing for Problem Solving, SocProS 2015 ; Conference date: 18-12-2015 Through 20-12-2015",
year = "2016",
doi = "10.1007/978-981-10-0451-3_60",
language = "English",
isbn = "9789811004506",
series = "Advances in Intelligent Systems and Computing",
publisher = "Springer Verlag",
pages = "673--681",
editor = "Kusum Deep and Das, {Kedar Nath} and Bansal, {Jagdish Chand} and Millie Pant and Atulya Nagar",
booktitle = "Proceedings of 5th International Conference on Soft Computing for Problem Solving, SocProS 2015",
}