A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations

Year: 2014

Type: article

Abstract: A kind of new mixed element method for time-fractional partial differential equations is studied. The Caputo-fractional derivative of time direction is approximated by two-step difference method and the spatial direction is discretized by a new mixed element method, whose gradient belongs to the simple (L (2)(Ω)(2)) space replacing the complex H(div; Ω) space. Some a priori error estimates in L (2)-norm for the scalar unknown u and in (L (2))(2)-norm for its gradient σ. Moreover, we also discuss a priori error estimates in H (1)-norm for the scalar unknown u.

Source: The Scientific World JOURNAL

DOI: 10.1155/2014/141467

Authors: Yang Liu, Hong Li, Wei Gao, Siriguleng He, Zhichao Fang

Institution: Inner Mongolia University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $860

Funders: National Natural Science Foundation of China, Ministry of Education of the People's Republic of China, Inner Mongolia University

OpenAlex ID: W2000800671