This article examines the application of high-order monotone difference schemes in solving stationary and nonstationary differential equations arising in real-world problems. The study analyzes the stability, accuracy, and computational efficiency of monotone numerical methods and their role in preventing nonphysical oscillations. The results demonstrate that these schemes are widely used in heat transfer, fluid dynamics, environmental modeling, financial mathematics, and engineering simulations.
| Mualliflar | Babayarova, Nargiza, Kamolova, Sevara |
|---|---|
| Jurnal | Қўқон ДПИ. Илмий хабарлар |
| Nashr sanasi | 2026-07-13 |
| Jild | 8 |
| Son | 5. |
| Betlar | 993-997 |
| Til | Ingliz |
| DOI | 10.70728/c.series.ped.v08.i05.155 |
DOI: 10.70728/c.series.ped.v08.i05.155 · Maqolaning asl sahifasi
high-order schemes, monotone difference schemes, stationary equations, nonstationary equations, numerical methods, differential equations, computational modeling, stability analysis, heat transfer, fluid dynamics.
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