Modified Optimal Homotopy Asymptotic Method for KdV Family of Equations

Authors

Mubashir Qayyum, National University of Computer & Emerging Sciences - FAST Lahore, PakistanFollow
Muhammad Faisal, National University of Computer & Emerging Sciences - FAST Lahore, PakistanFollow
Naveed Imran, Department of Mathematics, HITEC College, Taxila Cantt, PakistanFollow

Corresponding Author

Naveed Imran

Document Type

Research Article

Subject Areas

Numerical Analysis and Differential Equations

Keywords

Daftardar - Jafari polynomials, KdV equation, OHAM, PDEs, Series solution.

Abstract

In this manuscript a hybrid of optimal homotopy asymptotic method (OHAM) with Daftardar - Jafari (DJ) polynomials has been introduced for time dependent KdV family of equations. Proposed methodology is applied to (1+1) and (2+1) soliton KdV equations and results are compared with classical OHAM. Analysis reveals that proposed modification is an effective way of getting better accuracy with less computational cost, and can be applied to more complex phenomena.

How to Cite This Article

Qayyum, Mubashir; Faisal, Muhammad; and Imran, Naveed (2024) "Modified Optimal Homotopy Asymptotic Method for KdV Family of Equations," International Journal of Emerging Multidisciplinaries: Mathematics: Vol. 3: Iss. 1, Article 5.
DOI: https://doi.org/10.59790/2790-3257.1048

Receive Date

08-05-2023

Accept Date

09-12-2023

Publication Date

5-18-2024