Partial differential equations for cereal seeds distribution
| العنوان: | Partial differential equations for cereal seeds distribution |
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| المؤلفون: | Vjekoslav Tadić, Kurt Tomantschger |
| المصدر: | Tehnički Vjesnik, Vol 28, Iss 2, Pp 624-628 (2021) Tehnički vjesnik Volume 28 Issue 2 |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Partial differential equation, Diffusion equation, Distribution (number theory), Mathematical analysis, General Engineering, Probability density function, diffusion equations, Engineering (General). Civil engineering (General), cereal seeds, analytical solutions, partial differential equation, probability density function, TA1-2040, Mathematics |
| الوصف: | During the recent years all crop species achieved the best possible field distribution so a high yield is to be expected. In this paper the solutions of two different diffusion equations are determined, which describe the optimal distribution of cereal grains over a field. Therefore, there are two different partial differential equations of cereal seed distribution-distinction is made between the longitudinal spacing (seeds in a row), and transverse distance (between two rows), as well as the sowing depth. In particular, closed forms of solutions are derived in each case. Although the result of the diffusion equation with respect to the distribution of the lateral seed distance of two adjacent rows is already known, a new solving method is presented in this paper. By this method, the partial differential equation is reduced to an ordinary one, which is easier to solve. In this paper it is shown that the distribution of lateral resp. longitudinal and in-depth wheat seed distances is achieved by a normal Gauss function resp. a log-normal function. Furthermore, it is demonstrated that the fitting functions of the best experimental results of wheat seeding distributions are particular solutions of the individual differential equations. Normal Gauss function describes lateral distribution with R2 = 0.9325 ; RSME = 1.2450, and log-normal function describes longitudinal distribution with R2 = 0.9380 ; RSME = 1.4696 as well as depth distribution with R2 = 0.9225 ; RSME = 2.0187. |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 1330-3651 1848-6339 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1cfd180145cb79c6e0269d1b8f0542e7 https://www.bib.irb.hr/1115984 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....1cfd180145cb79c6e0269d1b8f0542e7 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 13303651 18486339 |
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