Kapil Pal1This email address is being protected from spambots. You need JavaScript enabled to view it., V. G. Gupta2, Hoshiyar Singh1, Vatsala Pawar1
1Jaipur National University, Jagatpura, Jaipur, Rajasthan
2University of Rajasthan, J. L. N. Marg, Jaipur, Rajasthan
Received: March 2, 2022 Accepted: January 3, 2023 Publication Date: August 25, 2023
Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.
In this research paper, we obtained the analytic exact solution of time dependent nonhomogeneous 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
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