期刊论文

Tang, Bo(tangbo0809@163.com)

英文

Computers & Mathematics with Applications

0898-1221

2023

132

104-118

10.1016/j.camwa.2022.12.006

This research was partly supported by the National Natural Science Foundation of China (Nos. 12101080 , 12126303 , 12026263 , 12026254 , 12126308 ), Excellent young and middle-aged science and Technology Innovation team project of Education Department of Hubei Province ( T2022029 ), Scientific Research Foundation of Hunan Provincial Education Department ( 21C0188 ), Hunan Provincial Natural Science Foundation of China ( 2022JJ40463 ), Research ability cultivation fund of Hubei University of Arts and Science ( 2020kypytd006 ), The Project of Hubei University of Arts and Science ( XK2021022 ), Hubei Superior and Distinctive Discipline Group of “New Energy Vehicle and Smart Transportation” ( XKTD052023 ), Science and Technology Research Project of Education Department of Hubei Province ( Q20162601 ), the Humanities and Social Science Youth Foundation of Ministry of Education of China ( 17YJC630084 ).

本校为其他机构

We consider an alternating direction implicit (ADI) scheme combined with an arbitrary-order orthogonal spline collocation (OSC) method in space for the numerical solution of the distributed-order fractional integro-differential equation. The weighted and shifted Grünwald formula is employed to discretize the distributed-order time-fractional derivative combined with the second-order fractional quadrature convolution rule introduced by Lubich for the Riemann-Liouville fractional integral. We prove the stability of the proposed ADI OSC scheme and derive error es...