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https://ptsldigital.ukm.my/jspui/handle/123456789/578185| Title: | Adapting non-standard weighted average approach for solving the Lotka-Volterra model |
| Authors: | Mohammad Khatim Hasan (UKM) Shahrizan Mazlan (UKM) |
| Keywords: | Lotka-Volterra Nonlinear Nonstandard method Weighted average approach |
| Issue Date: | Jun-2017 |
| Description: | Simulating Lotka-Volterra model using a numerical method requires the researcher to apply tiny mesh sizes to come up with an accurate solution. This approach will increase the complexity and burden of computer memory and consume long computational time. To overcome these issues, a new solver is used that could simulate Lotka-Volterra model using bigger mesh size. In this paper, prey and predator behaviour is simulated via Lotka-Volterra model. We approximate the nonlinear terms in the model via weighted average approach and differential equation via nonstandard denominators. We provide three new schemes for one step method and simulate four sets of parameters to examine the performance of these new schemes. Results show that these new schemes simulate better for large mesh sizes. |
| News Source: | Pertanika Journals |
| ISSN: | 0128-7680 |
| Volume: | 25 |
| Pages: | 97-106 |
| Publisher: | Universiti Putra Malaysia Press |
| Appears in Collections: | Journal Content Pages/ Kandungan Halaman Jurnal |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ukmvital_113368+Source01+Source010.PDF | 1.7 MB | Adobe PDF |  View/Open |
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