In this article,we consider to solve the inverse initial value problem for an inhomogeneous space-time fractional diffusion equation.This problem is ill-posed and the quasi-boundary value method is proposed to deal wi...In this article,we consider to solve the inverse initial value problem for an inhomogeneous space-time fractional diffusion equation.This problem is ill-posed and the quasi-boundary value method is proposed to deal with this inverse problem and obtain the series expression of the regularized solution for the inverse initial value problem.We prove the error estimates between the regularization solution and the exact solution by using an a priori regularization parameter and an a posteriori regularization parameter choice rule.Some numerical results in one-dimensional case and two-dimensional case show that our method is efficient and stable.展开更多
Objective To identify the prognostic value of the Revised 15-item Myelodysplastic Syndrome-specific frailty scale(FS-15)in Chinese patients with myelodysplastic syndromes(MDS).Methods This retrospective study analyzed...Objective To identify the prognostic value of the Revised 15-item Myelodysplastic Syndrome-specific frailty scale(FS-15)in Chinese patients with myelodysplastic syndromes(MDS).Methods This retrospective study analyzed 812 patients with newly diagnosed MDS admitted to the Institute of Hematology and Blood Diseases Hospital,Chinese Academy of Medical Sciences.展开更多
基金The project is supported by the National Natural Science Foundation of China(11561045,11961044)the Doctor Fund of Lan Zhou University of Technology.
文摘In this article,we consider to solve the inverse initial value problem for an inhomogeneous space-time fractional diffusion equation.This problem is ill-posed and the quasi-boundary value method is proposed to deal with this inverse problem and obtain the series expression of the regularized solution for the inverse initial value problem.We prove the error estimates between the regularization solution and the exact solution by using an a priori regularization parameter and an a posteriori regularization parameter choice rule.Some numerical results in one-dimensional case and two-dimensional case show that our method is efficient and stable.
文摘Objective To identify the prognostic value of the Revised 15-item Myelodysplastic Syndrome-specific frailty scale(FS-15)in Chinese patients with myelodysplastic syndromes(MDS).Methods This retrospective study analyzed 812 patients with newly diagnosed MDS admitted to the Institute of Hematology and Blood Diseases Hospital,Chinese Academy of Medical Sciences.