A uniformly convergent numerical scheme for singularly perturbed differential equation with integral boundary condition arising in neural network Online publication date: Wed, 02-Oct-2019
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.
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