Comparison of Homotopy Perturbation Method with New Homotopy Perturbation Method

14 Pages Posted: 14 Jun 2019

See all articles by Monika Dhariwal

Monika Dhariwal

Amity University Haryana

Nahid Fatima

Amity University Haryana

Date Written: February 24, 2019

Abstract

In this article, a new homotopy technique is presented for the mathematical analysis of finding the solution of partial differential equation and we compare the decision of using NHPM with those using HPM to view the efficacy and advantageousness of the new capability. The purpose of this study is to show that constructing the proper homotopy in a correct way determines the solution with less computational work than using the existing approach while supplying quantitatively reliable results. To illustrate the capability and reliability of the method examples are provided. Comparison of the results of applying NHPM with those of applying HPM reveal the effectiveness and convenience of the new technique.

Suggested Citation

Dhariwal, Monika and Fatima, Nahid, Comparison of Homotopy Perturbation Method with New Homotopy Perturbation Method (February 24, 2019). Proceedings of International Conference on Sustainable Computing in Science, Technology and Management (SUSCOM), Amity University Rajasthan, Jaipur - India, February 26-28, 2019. Available at SSRN: https://ssrn.com/abstract=3358758 or http://dx.doi.org/10.2139/ssrn.3358758

Monika Dhariwal (Contact Author)

Amity University Haryana ( email )

Manesar
India

Nahid Fatima

Amity University Haryana ( email )

Manesar
India

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