DOAJ Open Access 2025

A new method for researching differential equations

Hong Lai Zhu

Abstrak

Using the ZA method proposed for the first time in this paper, it is theoretically possible to obtain general or analytical solutions for an infinite number of ordinary and partial differential equations. These equations can be linear or nonlinear, and the solutions of some of them are gained for the first time. By the general solutions, we have successfully obtained exact solutions to seven definite solution problems and found two singularities. Using the ZA method, we prove that some important equations do not have certain types of solutions.

Topik & Kata Kunci

Applied mathematics. Quantitative methods

Penulis (1)

Hong Lai Zhu

Format Sitasi

APA MLA BibTeX

Zhu, H.L. (2025). A new method for researching differential equations. https://doi.org/10.1016/j.padiff.2024.101050

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.1016/j.padiff.2024.101050
Akses: Open Access ✓