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Uncertain wave equation with infinite half-boundary

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  • Gao, Rong

Abstract

Wave equation is a type of second-order and hyperbolic partial differential equation. It is a commonly used tool to model many kinds of wave propagations such as sound wave, electromagnetic wave, water wave and string vibration propagations. Similarly, uncertain wave equation is a type of uncertain partial equation driven by Liu process, which is widely used to model the wave propagation with uncertain noise such as vibrating string in uncertain environment. The existing literature has studied uncertain wave equation with infinite boundary. Since infinite boundary is a much ideal condition, this paper aims at studying the uncertain wave equation with infinite half-boundary.

Suggested Citation

  • Gao, Rong, 2017. "Uncertain wave equation with infinite half-boundary," Applied Mathematics and Computation, Elsevier, vol. 304(C), pages 28-40.
    • Handle: RePEc:eee:apmaco:v:304:y:2017:i:c:p:28-40
    DOI: 10.1016/j.amc.2016.12.003
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    References listed on IDEAS

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    1. Gao, Rong, 2016. "Milne method for solving uncertain differential equations," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 774-785.
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    Cited by:

    1. Yang, Xiangfeng & Ralescu, Dan A., 2021. "A Dufort–Frankel scheme for one-dimensional uncertain heat equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 98-112.
    2. Jia, Lifen & Liu, Xueyong, 2021. "Optimal harvesting strategy based on uncertain logistic population model," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    3. Jia, Lifen & Lio, Waichon & Yang, Xiangfeng, 2018. "Numerical method for solving uncertain spring vibration equation," Applied Mathematics and Computation, Elsevier, vol. 337(C), pages 428-441.
    4. Jian Zhou & Yujiao Jiang & Athanasios A. Pantelous & Weiwen Dai, 2023. "A systematic review of uncertainty theory with the use of scientometrical method," Fuzzy Optimization and Decision Making, Springer, vol. 22(3), pages 463-518, September.
    5. Jia, Lifen & Sheng, Yuhong, 2019. "Stability in distribution for uncertain delay differential equation," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 49-56.
    6. Gao, Rong & Ma, Nana & Sun, Gaoji, 2019. "Stability of solution for uncertain wave equation," Applied Mathematics and Computation, Elsevier, vol. 356(C), pages 469-478.
    7. Gao, Rong & Hua, Kexin, 2023. "A numerical method for solving uncertain wave equation," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    8. Pan, Zeyu & Gao, Yin & Yuan, Lin, 2021. "Bermudan options pricing formulas in uncertain financial markets," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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