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典型文献
A General Fractional Pollution Model for Lakes
文献摘要:
A model for the amount of pollution in lakes connected with some rivers is introduced.In this model,it is supposed the density of pollution in a lake has memory.The model leads to a system of fractional differential equations.This system is transformed into a system of Volterra integral equations with memory kernels.The existence and regularity of the solu-tions are investigated.A high-order numerical method is introduced and analyzed and com-pared with an explicit method based on the regularity of the solution.Validation examples are supported,and some models are simulated and discussed.
文献关键词:
作者姓名:
Babak Shiri;Dumitru Baleanu
作者机构:
Data Recovery Key Laboratory of Sichuan Province,College of Mathematics and Information Science,Neijiang Normal University,Neijiang 641100,Sichuan,China;Department of Mathematics,Cankaya University,06530 Balgat,Ankara,Turkey;Institute of Space Sciences,Magurele-Bucharest,Romania
引用格式:
[1]Babak Shiri;Dumitru Baleanu-.A General Fractional Pollution Model for Lakes)[J].应用数学与计算数学学报,2022(03):1105-1130
A类:
B类:
General,Fractional,Pollution,Model,Lakes,amount,pollution,lakes,connected,some,rivers,introduced,In,this,supposed,density,has,memory,leads,system,fractional,differential,equations,This,transformed,into,Volterra,integral,kernels,existence,regularity,investigated,high,order,numerical,method,analyzed,com,pared,explicit,solution,Validation,examples,supported,models,simulated,discussed
AB值:
0.59045
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