Numerical approximation of a convolution model of \(\dot{\theta}\)-neuron networks

DOI10.1016/J.APNUM.2010.12.003zbMath1208.65180OpenAlexW1979450487MaRDI QIDQ623277

Samir Kumar Bhowmik

Publication date: 14 February 2011

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2010.12.003

zbMATH Keywords

convergencenumerical resultsboundednessnonlinear integro-differential equationinvertibilitypiecewise polynomialsneuron networks

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Other nonlinear integral equations (45G10) Neural networks for/in biological studies, artificial life and related topics (92B20)

Related Items (6)

Fast and efficient numerical methods for an extended Black-Scholes model ⋮ Error estimates for discontinuous Galerkin finite element methods for a neuron network model ⋮ Numerical approximation of an elastic wave model ⋮ A note on some numerical approaches to solve a \(\dot{\theta}\) neuron networks model ⋮ Numerical convergence of a one step approximation of an integro-differential equation ⋮ Stability and accuracy analysis of \(\theta\) scheme for a convolutional integro-differential equation

Uses Software

• Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite to infinite steady state solutions, bifurcations of an integro-differential equation
• Stable numerical schemes for a partly convolutional partial integro-differential equation
• Collocation methods for parabolic partial differential equations in one space dimension
• Traveling waves in a convolution model for phase transitions
• Numerical solution of a Fredholm integro-differential equation modelling \(\dot \theta\)-neural networks
• Numerical solution of a Fredholm integro-differential equation modelling neural networks
• Product Approximation for Nonlinear Klein-Gordon Equations
• One-Dimensional Galerkin Methods and Superconvergence at Interior Nodal Points
• Analyses of Spline Collocation Methods for Parabolic and Hyperbolic Problems in Two Space Variables
• Product Approximation for Non-linear Problems in the Finite Element Method
• Galerkin Methods for Even-Order Parabolic Equations in One Space Variable
• PDE Methods for Nonlocal Models
• Spectral Methods in MATLAB
• An Introduction to Numerical Analysis

This page was built for publication: Numerical approximation of a convolution model of \(\dot{\theta}\)-neuron networks