A uniformly convergent numerical scheme for singularly perturbed differential equation with integral boundary condition arising in neural network
by D. Shakti; J. Mohapatra
International Journal of Computing Science and Mathematics (IJCSM), Vol. 10, No. 4, 2019

Abstract: This article deals with a singularly perturbed quasilinear boundary value problem with integral boundary condition which arises in neural network. The problem is discretised by using an upwind finite difference scheme on a non-uniform mesh obtained via equidistribution of a monitor function. We prove that the method is first order convergent in the discrete maximum norm independent of perturbation parameter. The parameter uniform convergence is confirmed by numerical computations.

Online publication date: Wed, 02-Oct-2019

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