Numerical Simulation of the FitzHugh-Nagumo Equations

Ahmed Soliman

doi:10.60692/eayev-a1598

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Numerical Simulation of the FitzHugh-Nagumo Equations

Ahmed Soliman

Year: 2012 Journal: Greater South Information System

DOI: 10.60692/eayev-a1598

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Abstract

The variational iteration method and Adomian decomposition method are applied to solve the FitzHugh-Nagumo (FN) equations. The two algorithms are illustrated by studying an initial value problem. The obtained results show that only few terms are required to deduce approximated solutions which are found to be accurate and efficient.

Keywords:

Adomian decomposition method Decomposition method (queueing theory) Numerical analysis Computer simulation Iterative method Initial value problem Decomposition

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Fractional Differential Equations Solutions

Physical Sciences → Mathematics → Modeling and Simulation

Nonlinear Waves and Solitons

Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics

Numerical methods for differential equations

Physical Sciences → Mathematics → Numerical Analysis

Numerical Simulation of the FitzHugh-Nagumo Equations

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