gL1 scheme for solving a class of generalized time-fractional diffusion equations

• المؤلفون الرئيسيون: Li, Xuhao, Wong, Patricia Jia Ying
• مؤلفون آخرون: School of Electrical and Electronic Engineering
• التنسيق: مقال
• اللغة: English
• منشور في: 2022
• الموضوعات: Engineering::Electrical and electronic engineering; Generalized Fractional Derivative; Time-Diffusion Problem
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/160835
• المؤسسة: Nanyang Technological University

In this paper, a numerical scheme based on a general temporal mesh is constructed for a generalized time-fractional diffusion problem of order α. The main idea involves the generalized linear interpolation and so we term the numerical scheme the gL1 scheme. The stability and convergence of the numer...