Solution of One Dimensional Convection Diffusion Equation by Homotopy Perturbation Method

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Satyendra Singh Yadav, Akhilesh Kumar

Abstract

In this research, we have used a technique known as the homotopy perturbation method (HPM) to discover a solution to the one-dimensional convection diffusion problem. Equations of convection and diffusion hold a unique place in the domains of engineering and science, and they serve as a useful model for a great deal of different kinds of systems that are found in a variety of disciplines. The homotopy perturbation technique is one of the most recent analytic methods that can be utilized to determine the exact solution of a number of different classes of PDE. Through the use of the HPM, a complex issue is reduced to a manageable and straightforward issue that may be resolved with relative ease. When contrasted with the results of numerical solution, the results generated by HPM are analyzed.

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