APPLICATION OF NEW ITERATIVE ALGORITHM FOR SOLVING NONLINEAR CONVECTION-DIFFUSION HEAT EQUATION WITH CONSTANT COEFFICIENTS

Year 2021, Volume: 7 Issue: 1, 11 - 23, 30.06.2021

Falade Kazeem Iyanda Muhammad Mustapha

https://doi.org/10.51477/mejs.801367

Abstract

This paper presents computational procedures to formulate an algorithm based on the new iterative method (NIM) for the numerical solution of nonlinear convection-diffusion heat equation with constant coefficients. The newly formulated algorithm (NIA) was fully described the relationship between convection and diffusion constants. Three test cases (prototype) are consider to investigate the time distribution profiles in heat equation other study. The algorithm is easy and efficient to solve similar problems in physical sciences.

Keywords

Convection-diffusion heat equation, new iterative method (NIM),, convection-diffusion constant coefficients

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