Explicit, non-negativity-preserving and maximum-principle-satisfying finite difference scheme for the nonlinear Fisher's equation
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DOI: 10.1016/j.amc.2023.128467
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References listed on IDEAS
- Dag, Idiris & Ersoy, Ozlem, 2016. "The exponential cubic B-spline algorithm for Fisher equation," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 101-106.
- Feng, Zhaosheng & Li, Yang, 2006. "Complex traveling wave solutions to the Fisher equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 115-123.
- Tan, Yue & Xu, Hang & Liao, Shi-Jun, 2007. "Explicit series solution of travelling waves with a front of Fisher equation," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 462-472.
- Balyan, L.K. & Mittal, A.K. & Kumar, M. & Choube, M., 2020. "Stability analysis and highly accurate numerical approximation of Fisher’s equations using pseudospectral method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 86-104.
- Qin, Wendi & Ding, Deqiong & Ding, Xiaohua, 2015. "Two boundedness and monotonicity preserving methods for a generalized Fisher-KPP equation," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 552-567.
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Keywords
Fisher's equation; Explicit finite difference method; Boundedness; Non-negativity; Convergence;All these keywords.
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