A novel explicit scheme for stochastic diffusive SIS models with treatment effects
Abstrak
In this study, we propose a novel computational scheme for solving deterministic and stochastic partial differential equations (PDEs). The scheme is designed as an explicit two-stage method, where only the time-dependent terms are discretized, ensuring computational efficiency. A compact finite difference scheme is employed to discretize the spatial components, achieving a sixth-order accuracy in space. The stability and consistency of the proposed method are thoroughly investigated in the mean square sense, guaranteeing its validity for stochastic PDEs. The scheme's effectiveness is demonstrated by applying it to a stochastic diffusive SIS epidemic model. Furthermore, a comparative analysis uses existing numerical methods for deterministic models, including the Runge–Kutta and Euler schemes. The results indicate that the proposed scheme provides higher accuracy and reduced numerical error, making it a promising approach for solving complex epidemiological models.
Topik & Kata Kunci
Penulis (1)
Muhammad Shoaib Arif
Akses Cepat
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- 2025
- Sumber Database
- DOAJ
- DOI
- 10.1016/j.padiff.2025.101215
- Akses
- Open Access ✓