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Neural network approach to intricate problems solving for ordinary differential equations

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Abstract

We consider the problems arising in the construction of the solutions of singularly perturbed differential equations. Usually, the decision of such problems by standard methods encounters significant difficulties of various kinds. The use of a common neural network approach is demonstrated in three model problems for ordinary differential equations. The conducted computational experiments confirm the effectiveness of this approach.

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Correspondence to E. M. Budkina.

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Budkina, E.M., Kuznetsov, E.B., Lazovskaya, T.V. et al. Neural network approach to intricate problems solving for ordinary differential equations. Opt. Mem. Neural Networks 26, 96–109 (2017). https://doi.org/10.3103/S1060992X17020011

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  • DOI: https://doi.org/10.3103/S1060992X17020011

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