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Weak Galerkin finite element method for a class of time fractional generalized Burgers' equation
Author(s) -
Wang Haifeng,
Xu Da,
Zhou Jun,
Guo Jing
Publication year - 2021
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.22549
Subject(s) - mathematics , galerkin method , norm (philosophy) , finite element method , burgers' equation , discontinuous galerkin method , mathematical analysis , stability (learning theory) , class (philosophy) , mixed finite element method , extended finite element method , partial differential equation , physics , artificial intelligence , political science , computer science , law , thermodynamics , machine learning
In this article, we use the weak Galerkin (WG) finite element method to study a class of time fractional generalized Burgers' equation. The existence of numerical solutions and the stability of fully discrete scheme are proved. Meanwhile, by applying the energy method, an optimal order error estimate in discrete L 2 norm is established. Numerical experiments are presented to validate the theoretical analysis.