2023
DOI: 10.1007/s00500-023-08057-4
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An iterative analytic approximation for a class of nonlinear singularly perturbed parabolic partial differential equations

Abstract: In this article, a closed-form iterative analytic approximation to a class of nonlinear singularly perturbed parabolic partial differential equation is developed and analysed for convergence. We have considered both parabolic reaction diffusion and parabolic convection diffusion type of problems in this paper. The solution of this class of problem is polluted by a small dissipative parameter, due to which solution often shows boundary and interior layers. A sequence of approximate analytic solution for the abo… Show more

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