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Ngày xuất bản: 24/06/2023
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DOI: https://doi.org/10.52714/dthu.12.5.2023.1065
Số xuất bản
Tập 12 Số 5 (2023): Chuyên san Khoa học Tự nhiên (Tiếng Anh)
Chuyên mục
Natural Sciences Issue
Trích dẫn bài báo
Phan, V. L. E. (2023). Transition of spiral solutions according to the time and space steps discretization of reaction-diffusion system of FitzHugh-Nagumo type. Tạp chí Khoa học Đại học Đồng Tháp, 12(5), 3-8. https://doi.org/10.52714/dthu.12.5.2023.1065

Transition of spiral solutions according to the time and space steps discretization of reaction-diffusion system of FitzHugh-Nagumo type

Phan Van Long Em1,
1 An Giang University, Vietnam National University Ho Chi Minh City, Vietnam

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Tóm tắt

Spiral solutions or spiral waves can be found in many natural systems. Spiral waves were observed in studies about the potential in brain and heart cells. Their appearance in the human heart is a presentation of arrhythmia. The paper showed how to create spiral solutions of diffusion-reaction system of FitzHugh-Nagumo type and the transition of spiral solutions according to the time step and space step discretization of finite difference method. Decreasing the value of space step discretization makes the spiral wave grow bigger, but if the value of time step discretization is increased at the same given space step, the finite difference method will be explosive, meaning that spiral wave no longer exists.

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Từ khóa

reaction-diffusion equations of FitzHugh-Nagumo, space step discretization, time step discretization

Tài liệu tham khảo

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