Abstract
In this paper, numerical treatment is presented for the solution of boundary value problems of one-dimensional Bratu-type equations using artificial neural networks. Three types of transfer functions including Log-sigmoid, radial basis, and tan-sigmoid are used in the neural networks’ modeling. The optimum weights for all the three networks are searched with the interior point method. Various test cases of Bratu-type equations have been simulated using the developed models. The accuracy, convergence, and effectiveness of the methods are substantiated by a large number of simulation data for each model by taking enough independent runs.
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Raja, M.A.Z., Ahmad, SuI. Numerical treatment for solving one-dimensional Bratu problem using neural networks. Neural Comput & Applic 24, 549–561 (2014). https://doi.org/10.1007/s00521-012-1261-2
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DOI: https://doi.org/10.1007/s00521-012-1261-2