https://doi.org/10.1140/epjp/s13360-020-00780-3
Regular Article
Numerical solution of third-order Emden–Fowler type equations using artificial neural network technique
Department of Mathematics, Motilal Nehru National Institute of Technology Allahabad, 211004, Prayagraj, U.P., India
Received:
1
August
2020
Accepted:
15
September
2020
Published online:
22
September
2020
This paper presents the application of artificial neural network technique for solving a class of third-order linear and nonlinear boundary value problems with mixed nonlinear boundary conditions. This technique overcomes the singular behavior of problems and outlines the approximations of high exactness with a vast viable region of convergence. The proposed method has been tested for various examples; acquired outcomes exhibit the effectiveness and robustness of the proposed strategy and are compared with the other existing numerical techniques.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020