APPLICATION OF NEW ITERATIVE ALGORITHM FOR THE NUMERICAL SOLUTION OF NONLINEAR CONVECTION-DIFFUSION EQUATION WITH CONSTANT COEFFICIENTS

Abstract: This paper presents computational procedures for the formulation of an algorithm based on the new iterative method (NIM) for the numerical solution of the nonlinear heat equation with constant coefficients. The newly formulated algorithm (NIA) was successfully described the relationship between convection and diffusion constants. Three test cases (prototype) are considered for the investigation oftime distribution profiles in the heat equation other studies. The algorithm is easy, efficient, and suggests solving similar problems in physical sciences and engineering.

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