Enlightenment Of Heat Diffusion Using New Homotopy Perturbation Method

Abstract

In this research paper, we obtained the analytic exact solution of time dependent inhomogeneous onedimensional heat conduction equation by using new homotopy perturbation method. The obtained solution of heat diffusion equation was explained graphically using MATLAB. The numerical values of the solution of Heat equation are shown in a table. The novelty of the procedure is that it does no longer require small parameter in an equation and obtain the analytical solution without converting the problem into homogeneous boundary condition. We concluded that the solution of nonlinear and linear differential equation can be received through using new homotopy perturbation method. Conclusion of this study have super utility in the discipline of engineering, mathematics, biomedical and many others.

Keywords

• nonlinear equation
• heat diffusion
• new homotopy perturbation method
• boundary and initial conditions