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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Freq.: MONTHLY - Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Applications of partial differential equations and Green’s functions in climate change modeling

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pp. 2079–2088Vol. 28Issue 6September 2025DOI: 10.47974/JIM-2349XML
Received:
10 Dec 2024
Published Online:
30 Sep 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-2349
Pages:
2079–2088

Abstract

Because climate change is getting worse, we need more complex scientific tools to make correct predictions and studies. Partial Differential Equations (PDEs) and green’s capabilities are very critical to this project because they make it viable to describe the complex modifications that happen in Earth’s climate systems. This essay seems at how PDEs can be used to model essential weather change methods inside the surroundings and oceans, which includes warmness transfer, fluid dynamics, and mass motion. We investigate how inexperience’s functions are used to resolve these PDEs, especially boundary price troubles, which let us do correct fashions of ways matters affect the arena in certain regions. Our method combines these mathematical techniques with actual-global information to make models more reliable and correct. Placing collectively PDEs and green’s capabilities with laptop methods solves troubles like nonlinearity and multistate activities that come up in weather models. The effects display how important advanced clinical techniques are for developing complex weather models which are used for making coverage choices and managing the environment. This study helps make prediction models better and gives us a better understanding of the complicated processes that cause climate change and unpredictability.

Keywords

Subject Classifications

68Q87

References

[1] D. Zhang, Y. Wang, H. Yang, S. Lan, C. Chen, B. Dai, C. Wang, X. Li, and Y. Xie, “Using intermittent moving aeration to repair hypereutrophic pond: Nutrient removal efficiency and microbial diversity analysis,” Environ. Sci. Pollut. Res., vol. 30, pp. 46697–46710 (2023).
[2] Y. Li, H. Jin, J. Chen, D. Wang, Z. Yang, B. Wang, Y. Zhuang, and R. Wang, “Nitrogen removal through sediment denitrification in the Yangtze Estuary and its adjacent East China Sea: A nitrate limited process during summertime,” Sci. Total Environ., vol. 795, pp. 148616 (2021).
[3] A. Saleh, F. N. Ibrahim, and M. A. M. Sharaf, “Mathematical model for expanding suitable areas for fish survival in a polluted river by using the solution of the two coupled pollution and aeration equations,” Model. Earth Syst. Environ., vol. 10, pp. 1803–1813 (2024).
[4] D. O. Hessen, T. Andersen, D. Armstrong McKay, S. Kosten, M. Meerhoff, A. Pickard, and B. M. Spears, “Lake ecosystem tipping points and climate feedbacks,” Earth Syst. Dynam., vol. 15, pp. 653–669 (2024).
[5] L. Fengbo, S. S. Zhiping, Q. Hangying, Z. Xiyue, X. Chunchun, W. Dianxin, F. Fuping, F. Jinfei, and Z. Ning, “Effects of Rice-Fish Co-culture on Oxygen Consumption in Intensive Aquaculture Pond,” Rice Sci., vol. 26, pp. 50–59 (2019).
[6] M. Maßmig, C. Cisternas-Novoa, and A. Engel, “Uncovering the role of oxygen on organic carbon cycling: Insights from a continuous culture study with a facultative anaerobic bacterioplankton species (Shewanella baltica),” Front. Mar. Sci., vol. 11, pp. 1328392 (2024).
[7] T. L. Welker, K. Overturf, and J. Abernathy, “Effect of aeration and oxygenation on growth and survival of rainbow trout in a commercial serial-pass, flow-through raceway system,” Aquac. Rep., vol. 14, pp. 100194 (2019).
[8] N. T. Nguyen, P. L. Tran-Nguyen, and T. T. B. Chau Vo, “Advances in aeration and wastewater treatment in shrimp farming: Emerging trends, current challenges, and future perspectives,” AQUA-Water Infrastruct. Ecosyst. Soc., vol. 73, pp. 902–916 (2024).
[9] C. Tong, K. He, and H. Hu, “Design and application of new aeration device based on recirculating aquaculture system,” Appl. Sci., vol. 14, pp. 3401 (2024).
[10] P. Sahane, M. Gulhane, N. Rakesh, S. M. Mahalakshmi Naidu, M. Grover, and V. Mahajan, “Evaluating lightweight encryption schemes for resource-constrained devices in wireless sensor networks,” J. Discrete Math. Sci. Cryptogr., vol. 28, no. 5-A, pp. 1803–1812 (2025).
[11] M. Gulhane and T. Sajana, “Integrating optimized ensemble learning and explainable AI for accurate heart disease diagnosis,” J. Inf. Optim. Sci., vol. 45, no. 8, pp. 2369–2378 (2024). 

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