New Modification of Homotopy Perturbation Method for Multi-Point Boundary Value Problems

Authors

Mubashir Qayyum, National University of Computer & Emerging Sciences - FAST Lahore, PakistanFollow
Imbsat Oscar, National University of Computer & Emerging Sciences - FAST Lahore, PakistanFollow
Naveed Imran, Institute of Space Technology, Islamabad, PakistanFollow

Corresponding Author

Mubashir Qayyum

Document Type

Research Article

Subject Areas

Applied Mathematics and Computations

Keywords

Analytical solution, HPM, LSHPM, Multi-point BVPs

Abstract

In this paper a modification of homotopy perturbation method (HPM) is proposed for multi-point boundary value problems (BVPs). In this modification, HPM is hybrid with least square (LS) optimizer and named as least square homotpy perturbation method (LSHPM). Proposed method is applied to nonlinear multi-point BVPs and results are compared with HPM. The validity and convergence of the obtained solutions are confirmed by finding residual errors in each case. Analysis reveals that LSHPM is providing much accurate results as compared to HPM and hence can be used for more complex problems.

How to Cite This Article

Qayyum, Mubashir; Oscar, Imbsat; and Imran, Naveed (2023) "New Modification of Homotopy Perturbation Method for Multi-Point Boundary Value Problems," International Journal of Emerging Multidisciplinaries: Mathematics: Vol. 2: Iss. 1, Article 7.
DOI: https://doi.org/10.59790/2790-3257.1037

Receive Date

05-20-2022

Accept Date

09-06-2023

Publication Date

9-11-2023