# Numerical Solution of Stochastic Neural Fields with Delays

## TL;DR

This paper presents a novel numerical algorithm for solving stochastic neural field equations with delays, demonstrating how noise influences stationary solutions under spatially heterogeneous inputs.

## Contribution

The paper introduces a new numerical method for stochastic neural fields with delays, enabling analysis of noise effects on stationary solutions.

## Key findings

- Noise affects the stability of stationary solutions.
- Spatial heterogeneity influences neural field dynamics.
- The algorithm successfully simulates stochastic neural fields.

## Abstract

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.