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Analytical approach to study water infiltration phenomenonin unsaturated soils using reduced differential transform method |
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| รหัสดีโอไอ | |
| Creator | 1. Patel Yogeshwari 2. Jayesh M Dhodiya |
| Title | Analytical approach to study water infiltration phenomenonin unsaturated soils using reduced differential transform method |
| Publisher | Research and Development Office, Prince of Songkla University |
| Publication Year | 2565 |
| Journal Title | Songklanakarin Journal of Science an Technology (SJST) |
| Journal Vol. | 44 |
| Journal No. | 3 |
| Page no. | 708-719 |
| Keyword | richards equation, reduced differential transform method, infiltration phenomena, analytical solution, convergence, error analysis |
| URL Website | https://rdo.psu.ac.th/sjst/index.php |
| ISSN | 0125-3395 |
| Abstract | In hydrology and soil sciences, infiltration is the process by which water on the ground surface enters the soil, and isdescribed mathematically by Richard's equation. The present paper applies the reduced differential transform method to find theapproximate analytical solution of Richardโs equation describing infiltration phenomena in porous media. Some standard cases ofRichardโs equation are discussed to demonstrate the effectiveness and reliability of the method. Comparing approximateanalytical solutions obtained by RDTM with exact solutions shows that the proposed method is reliable and accurate and can beapplied for solving practical scientific and technological problems. The results obtained are also compared with the analyticalsolution obtained by some well-known methods available in the literature. The proposed approach does not need anylinearization, discretization, or perturbation parameters to obtain the solution for non-linear PDE, and its direct applicabilityreduces numerical computation. Convergence analysis and error estimation of the approximate solution of Richardโs equation isalso addressed in this research. |
