Three landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain
➤ Gửi thông báo lỗi ⚠️ Báo cáo tài liệu vi phạmNội dung chi tiết: Three landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain
Three landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain
Inverse ProbfemsA FngiWMinqInverse Problems in Science and EngineeringISSN: (Print) (Online) Journal hom«pag«: httpĩư/VíWw.tandfonlin«.com/loi/gipo20T Three landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain Three Landweber iterative methods for solving the initial value problem of time-fractional diffusionwave equation on spherically symmetric domainFan Yang, Qiao-Xi Sun & Xiao-Xiao LiTo Cite this article: Fan Yang, Qiao-Xi Sun & Xiao-Xiao Li (2021): Three Landweber iterative methods for solving the in Three landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain itial value problem of time-fractional diffusion-wave equation on spherically symmetric domain, Inverse Problems in Science and Engineering, DOI:10 10Three landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain
80'17415977 2021 1914603To link to this article: https://doi.Org/10.1080/17415977.2021.1914603Êâ Published online: 17 Apr 2021.Gf Submit your article Inverse ProbfemsA FngiWMinqInverse Problems in Science and EngineeringISSN: (Print) (Online) Journal hom«pag«: httpĩư/VíWw.tandfonlin«.com/loi/gipo20T Three landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain line.com/action/journallnformation?journalCode=gipe20INVERSE PROBLEMS IN SCIENCE AND ENGINEERING h«p$://doi.org/10.1080/17415977.2021.191460 3Taylor & FrancisL J Taykif & RarKis (xoup«) ChocK Jof KXlatcsThree Landweber iterative methods for solving the initial value problem of time-fractional diffus Three landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain ion-wave equation on spherically symmetric domainFan Yang, Qiao-Xi Sun and Xiao-Xiao LiSchool OÍ Science, Lanzhou University of Technology, Lanzhou, PThree landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain
eople's Republic of ChinaABSTRACTIn this paper, the inverse problem for identifying the initial value of time-fractional diffusion wave equation on spInverse ProbfemsA FngiWMinqInverse Problems in Science and EngineeringISSN: (Print) (Online) Journal hom«pag«: httpĩư/VíWw.tandfonlin«.com/loi/gipo20T Three landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain the Mittag Leffler functions. This problem is ill-posed, i.e. the solution(if exists) does not depend on the measurable data. Three different kinds landweber iterative methods are used to solve this problem. Under the priori and the posteriori regularization parameters choice rules, the error estima Three landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain tes between the exact solution and the regularization solutions are obtained. Several numerical examples are given to prove the effectiveness of theseThree landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain
regularization methods.ARTICLE HISTORYReceived £> April 2020 Accepted 28 March 2021KEYWORDSTime fractional diffusion wave equation; spherically symmeInverse ProbfemsA FngiWMinqInverse Problems in Science and EngineeringISSN: (Print) (Online) Journal hom«pag«: httpĩư/VíWw.tandfonlin«.com/loi/gipo20T Three landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain people find that the fractional derivative has much advantages in solving practical problem, such as in medical engineering 11], chemistry and biochemistry [2], finance and economics [3 6], inverse scattering [7]. Up to now, a lol of achievements have been made in solving the direct problems [8 12] Three landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain of fractional differential equations. However, when solving practical problems, the initial value, or source term, or diffusion coefficient, or partThree landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain
of the boundary value [13,14] is unknown, and it is necessary to invert them through some measurement data, which puts forward the inverse problem of Inverse ProbfemsA FngiWMinqInverse Problems in Science and EngineeringISSN: (Print) (Online) Journal hom«pag«: httpĩư/VíWw.tandfonlin«.com/loi/gipo20T Three landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain in [15-17].For the inverse problem of time-fractional diffusion equation as 0 < a < 1, there are a lot of research results. For identifying the unknown source, one can see [18 26]. About backward heat conduction problem, one can see [27 34]. About identifying the initial value problem, one can see [ Three landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain 35-37]. For an inverse unknown coefficient problem of a time-fractional equation, one can sec [38,39]. About identifying the source term and initial dThree landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain
ata simultaneous of time-fractional diffusion equation, one can see [40,41]. About identifying some unknown parameters in time-fractional diffusion eqInverse ProbfemsA FngiWMinqInverse Problems in Science and EngineeringISSN: (Print) (Online) Journal hom«pag«: httpĩư/VíWw.tandfonlin«.com/loi/gipo20T Three landweber iterative methods for solving the initial value problem of time fractional diffusion wave equation on spherically symmetric domain ic of China9 2021 Informa UK Limited, trading as Taylor & Francis GroupInverse ProbfemsA FngiWMinqInverse Problems in Science and EngineeringISSN: (Print) (Online) Journal hom«pag«: httpĩư/VíWw.tandfonlin«.com/loi/gipo20TGọi ngay
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