Numerical approximation of a convolution model of View the MathML source-neuron networks

• Autores: Samir Kumar Bhowmik
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 61, Nº. 4, 2011, págs. 581-592
• Idioma: inglés
• DOI: 10.1016/j.apnum.2010.12.003
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• Resumen

  • In this article, we consider a nonlinear integro-differential equation that arises in a View the MathML source-neural networks modeling. We analyze boundedness and invertibility of the model operator, construct approximate solutions using piecewise polynomials in space, and estimate the theoretical convergence rate of such spatial approximations. We present some numerical experimental results to demonstrate the scheme.