IJFANS International Journal of Food and Nutritional Sciences

ISSN PRINT 2319-1775 Online 2320-7876

APPLICATIONS OF HOMOTOPY PERTURBATION TRANSFORM METHOD FOR HEAT EQUATION

Main Article Content

V.H.Kolli, Sujata Tallur, Anuradha N Patil

Abstract

In the present research, we propose the Homotopy Perturbation Transform Method (HPTM), an efficient method for solving differential equations that combines the Laplace Transform Method with the Homotopy Perturbation Method (HPM). Solving linear and nonlinear partial differential equations, such as the heat equation, is one of its main applications. Ji-Huan He established the HPM technique in 1999, and M. Omran introduced the Homotopy Perturbation Transform technique (HPTM) in 2012. By applying HPTM, the solution process becomes more organized and controllable, which makes it an effective tool for solving heat equations in a variety of scenarios. The precise findings found in the literature were compared with the solutions. The outcomes demonstrate that the HPTM can effectively generate solutions that are precise, converge more quickly, and use less computer resources.

Article Details