Using the Differential Transform Method to Solve Non-Linear Partial Differential Equations
Fadwa A. M. Madi, Fawzi Abdelwahid
Journal of Advances in Mathematics and Computer Science · pp. 34–43 · Published 20 Nov 2020
10.9734/jamcs/2020/v35i830311Abstract
In this work, we reviewed the two-dimensional differential transform, and introduced the differential transform method (DTM). As an application, we used this technique to find approximate and exact solutions of selected non-linear partial differential equations, with constant or variable coefficients and compared our results with the exact solutions. This shows that the introduced method is very effective, simple to apply to linear and nonlinear problems and it reduces the size of computational work comparing with other methods.
Cited by 2
Helena Nayar, Patrick Azere Phiri · International Journal of Differential Equations · 2024
Showing 1 of 2 known citations — external sources report more than can currently be individually listed.
Related research
- Numerical Analysis of Ion Transport Dynamics in Animal Cells — shares topic coverage
- Alenezi Transform–A New Transform to Solve Mathematical Problems — shares topic coverage
- Solutions of Klein-Gordon Equation by the Laplace Decomposition Method and Modified Laplace Decomposition Method — shares topic coverage
- A Novel Ansatz Method for Solving the Neutron Diffusion System in Cartesian Geometry — shares topic coverage
- Fractional Variational Iteration Method for Fractional Fornberg-Whitham Equation and Comparison with the Undetermined Coefficient Method — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
2
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
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.