LANDWEBER ITERATIVE METHOD FOR AN INVERSE SOURCE PROBLEM OF TIME-FRACTIONAL DIFFUSION-WAVE EQUATION ON SPHERICALLY SYMMETRIC DOMAIN
Fan Yang, Ni Wang, Xiaoxiao Li
Abstract
In this paper, an inverse source problem of time-fractional diffusionwave equation on spherically symmetric domain is considered. In general, this problem is ill-posed. Landweber iterative method is used to solve this inverse source problem. The error estimates between the regularization solution and the exact solution are derived by an a-priori and an a-posteriori regularization parameters choice rules. The numerical examples are presented to verify the efficiency and accuracy of the proposed methods.
Topics & Concepts
Inverse problemA priori and a posterioriRegularization (linguistics)MathematicsApplied mathematicsInverseIterative methodDiffusion equationTime domainMathematical analysisWave equationMathematical optimizationComputer scienceGeometryEpistemologyComputer visionEconomyArtificial intelligenceEconomicsPhilosophyService (business)Numerical methods in inverse problemsFractional Differential Equations SolutionsNumerical methods in engineering