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Laplace Adomian decomposition method for solving a fish farm model

M. Sambath;  K. Balachandran — 2016

Nonautonomous Dynamical Systems

In this work, a combined form of the Laplace transform method and the Adomian decomposition method is implemented to give an approximate solution of nonlinear systems of differential equations such as fish farm model with three components nutrient, fish and mussel. The technique is described and illustrated with a numerical example.

Inverse Problems for Parabolic Equation with Discontinuous Coefficients

V. Dinakar;  N. Barani Balan;  K. Balachandran — 2017

Nonautonomous Dynamical Systems

We consider the reaction-diffusion equation with discontinuities in the diffusion coefficient and the potential term. We start by deriving the Carleman estimate for the discontinuous reaction-diffusion operator which is deployed in the inverse problems of finding the stability result of the two discontinuous coefficients from the internal observations of the given parabolic equation.

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