Measuring the Pollutants in a System of Three Interconnecting Lakes by the Semianalytical Method
| Autor: | Muhammad Mahbubur Rashid, Suazlan Mt Aznam, Indranil Ghosh, Md. Sazzad Hossien Chowdhury |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Polynomial
Article Subject Series (mathematics) Differential equation Iterative method Applied Mathematics 010103 numerical & computational mathematics Type (model theory) Impulse (physics) 01 natural sciences 010305 fluids & plasmas Simple (abstract algebra) 0103 physical sciences QA1-939 Applied mathematics 0101 mathematics Adomian decomposition method Mathematics |
| Zdroj: | Journal of Applied Mathematics, Vol 2021 (2021) |
| ISSN: | 1687-0042 |
| Popis: | Pollution has become an intense danger to our environment. The lake pollution model is formulated into the three-dimensional system of differential equations with three instances of input. In the present study, the new iterative method (NIM) was applied to the lake pollution model with three cases called impulse input, step input, and sinusoidal input for a longer time span. The main feature of the NIM is that the procedure is very simple, and it does not need to calculate any special type of polynomial or multipliers such as Adomian polynomials and Lagrange’s multipliers. Comparisons with the Adomian decomposition method (ADM) and the well-known purely numerical fourth-order Runge-Kutta method (RK4) suggest that the NIM is a powerful alternative for differential equations providing more realistic series solutions that converge very rapidly in real physical problems. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Plný text