The Fornberg-Whitham Equation Solved by the Differential Transform Method
Helena Nayar, Patrick Azere Phiri
Journal of Advances in Mathematics and Computer Science · pp. 85–95 · Published 13 Oct 2020
10.9734/jamcs/2020/v35i730306Abstract
The Differential Transform Method is a powerful analytical method that can solve nonlinear partial differential equations. Yet, the method cannot be used to solve time-dependent partial differential equations that involve more than one partial derivative with respect to the temporal variable t when they are of the same order, as in the case of the Fornberg-Whitham type equations. In this paper, a new theorem is devised to overcome the aforementioned problem of the method, and it has been successfully applied to solve the Fornberg-Whitham equation. The other equations belonging to this group of equations, such as the Camassa-Holm equation and the Degasperi-Procesi equation, may also be solved by this approach.
Cited by 4
Helena Nayar, Patrick Azere Phiri · International Journal of Differential Equations · 2024
Azhar Bashir, Aly R. Seadawy, Sarfaraz Ahmed · Chaos, Solitons & Fractals · 2022
Showing 2 of 4 known citations — external sources report more than can currently be individually listed.
Related research
Article metrics
Real usage data collected on this platform.
8
Page views
0
PDF downloads
7
Outbound clicks
4
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.