The Quasi-Boundary Regularization Method for Recovering the Initial Value in a Nonlinear Time–Space Fractional Diffusion Equation
نویسندگان
چکیده
In this paper, we consider the inverse problem for identifying initial value of time–space fractional nonlinear diffusion equation. The uniqueness solution is proved by taking fixed point theorem Banach compression, and ill-posedness analyzed through exact solution. quasi-boundary regularization method chosen to solve ill-posed problem, error estimate between given. Moreover, several numerical examples are prove effectiveness method. Finally, our can be used high dimensional equation, especially in cylindrical spherical symmetric regions.
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ژورنال
عنوان ژورنال: Symmetry
سال: 2023
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym15040853