# ERROR ANALYSIS OF THE SOLUTIONS OF (1+1)- DIMENSIONAL & (2+1)-DIMENSIONAL HEAT-LIKE EQUATIONS USING HE’S POLYNOMIAL

#### DOI NO:

https://doi.org/10.26782/jmcms.spl.11/2024.05.00016

#### Keywords:

Boundary Conditions,Error Analysis,He’s Polynomial,Heat Equations,Nonlinear Terms,Homotopy ,Perturbation Method,

#### Abstract

In this paper, we are examining He’s polynomial method for solving (1+1)- dimensional and (2+1)-dimensional heat-like equations that arise in various diffusion processes. The absolute error is calculated from the exact solution and numerical solution by taking different iterations of the He’s polynomial. This method is also called the homotopy perturbation method (HPM). The nonlinear terms can be easily handled by the use of He’s polynomials. The proposed scheme finds the solution without any discretization or restrictive assumptions and avoids round-off errors. Some examples are given to show the efficiency and accuracy of the He’s polynomial used to solve Heat-like equations.

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