Abstract
This paper elaborates accuracy issues in numerical solutions to Stochastic Neural Field Equations (SNFEs) with the infinite signal transmission speed and in the presence of external stimuli input. The numerical integration method under study belongs to the family of Galerkin-sort spectral approximations of one-dimensional SNFEs considered here. It reduces the partial integro-differential fashion of such models to a large system of ordinary Stochastic Differential Equations (SDEs). Eventually, these SDEs are solved by the Euler-Maruyama scheme of order 0.5 in MATLAB. In this paper, we devise a different-order numerical solution to the SNFE at hand and look at the difference of such stochastic simulations on average for evaluating the consistency of the solution derived. The effect of the SDE-numerical-integration-accuracy on formation of high neuron activity regions (so-called bumps) is discussed within one SNFE with external stimuli.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
