{"id":3107,"date":"2026-04-09T23:46:56","date_gmt":"2026-04-09T15:46:56","guid":{"rendered":"https:\/\/iweb20wp-b205b.url.tku.edu.tw\/jase\/?post_type=tkuisotope&p=3107"},"modified":"2026-06-10T12:18:35","modified_gmt":"2026-06-10T04:18:35","slug":"enlightenment-of-heat-diffusion-using-new-homotopy-perturbation-method","status":"publish","type":"tkuisotope","link":"\/jase\/?tkuisotope=enlightenment-of-heat-diffusion-using-new-homotopy-perturbation-method","title":{"rendered":"Enlightenment Of Heat Diffusion Using New Homotopy Perturbation Method"},"content":{"rendered":"\n
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<\/i> 2024<\/a><\/p>\n<\/div>\n\n\n\n

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<\/i> Volume 27, Issue 3<\/a><\/p>\n<\/div>\n\n\n\n

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Kapil Pal1<\/sup><\/i><\/a>, V. G. Gupta2<\/sup>, Hoshiyar Singh1<\/sup>, and Vatsala Pawar1<\/sup><\/p>\n\n\n\n

1<\/sup>Jaipur National University, Jagatpura, Jaipur, Rajasthan<\/p>\n\n\n\n

2<\/sup>University of Rajasthan, J. L. N. Marg, Jaipur, Rajasthan<\/p>\n<\/div>\n\n\n\n

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Received:\u00a0March 02, 2022
Accepted:\u00a0January 3, 2023
Publication Date:\u00a0April 9, 2026<\/p>\n<\/div>\n<\/div>\n\n\n\n

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Fig. 1<\/p>\n<\/div>\n<\/div>\n\n\n\n

<\/i> Copyright <\/strong>The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0)<\/a>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.<\/p>\n\n\n\n

Download Citation:\u00a0 BibTeX <\/a>| http:\/\/dx.doi.org\/10.6180\/jase.202403_27(3).0007<\/a>\u00a0\u00a0<\/p>\n\n\n\n

Download PDF<\/a><\/p>\n\n\n\n

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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.<\/p>\n\n\n\n

Keywords:\u00a0Nonlinear equation; Heat diffusion; New homotopy perturbation method; boundary and initial conditions<\/em><\/p>\n\n\n\n

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