Homotopy Perturbation Laplace Method for Boundary Value Problems

Authors

Mubashir Qayyum, Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore, Pakistan
Khadim Hussain, Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore, Pakistan

Corresponding Author

Mubashir Qayyum

Document Type

Research Article

Subject Areas

Numerical Analysis and Differential Equations

Keywords

Boundary Value Problem, Homotopy Perturbation, Laplace Transform, Pure Numerical method, Series Solution

Abstract

Most of the real situations are typically modeled as differential equations (DEs). Accurate solutions of such equations is one of the objective of researchers for the analysis and predictions in the physical systems. Typically, pure numerical approaches are utilized for the solution of such problems. These methods are usually consistent, but due to discretization and round-off errors, accuracy can be compromised. Also, pure numerical schemes may be computationally expensive and have large memory requirement. Due to this reason, current manuscript proposed a hybrid methodology by combining homotopy perturbation method (HPM) with Laplace transformation. This scheme provides excellent accuracy in less computations as compared to other methods, and hence can be extended to advance problems.

How to Cite This Article

Qayyum, Mubashir and Hussain, Khadim (2024) "Homotopy Perturbation Laplace Method for Boundary Value Problems," International Journal of Emerging Multidisciplinaries: Mathematics: Vol. 3: Iss. 1, Article 3.
DOI: https://doi.org/10.59790/2790-3257.1046

Receive Date

10-06-2023

Accept Date

03-30-2024

Publication Date

3-31-2024