Numerical Investigation of Stochastic Neural Field Equations

Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 41)


We introduce a new numerical algorithm for solving the stochastic neural field equation (NFE) with delays. Using this algorithm, we have obtained some numerical results which illustrate the effect of noise in the dynamical behaviour of stationary solutions of the NFE, in the presence of spatially heterogeneous external inputs.



We acknowledge support from Fundação para a Ciência e a Tecnologia (the Portuguese Foundation for Science and Technology) through the grant SFRH/BSAB/135130/2017 and POCI-01-0145-FEDER-031393.


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Authors and Affiliations

  1. 1.Departamento de MatemáticaInstituto Superior Técnico, Universidade de LisboaLisboaPortugal

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