Browsing by Author "Singh, Paramjeet"

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High-order finite volume approximation for population density model based on quadratic integrate-and-fire neuron

Singh, Paramjeet; Kumar, Santosh; Koksal, Mehmet Emir (Emerald Group Publishing Ltd, 2019)

Purpose The purpose of this paper is to develop and apply a high-order numerical method based on finite volume approximation for quadratic integrate-and-fire (QIF) neuron model with the help of population density approach. ...
Numerical Approximation for Nonlinear Noisy Leaky Integrate-and-Fire Neuronal Model

Sharma, Dipty; Singh, Paramjeet; Agarwal, Ravi P.; Koksal, Mehmet Emir (Mdpi, 2019)

We consider a noisy leaky integrate-and-fire (NLIF) neuron model. The resulting nonlinear time-dependent partial differential equation (PDE) is a Fokker-Planck Equation (FPE) which describes the evolution of the probability ...