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3. Fractional stochastic Burgers-Type Equation in H\'older space -wellposedness and approximations-

Author

Arab, Zineb and Debbi, Latifa

Subjects
Mathematics - Analysis of PDEs, 58J65, 60H15, 35R11
Abstract

In this work, we use the spectral Galerkin method to prove the existence of a pathwise unique mild solution of a fractional stochastic partial differential equation of Burgers type in a H\"older space. We get the temporal regularity and using a combination of Galerkin and exponential-Euler methods, we obtain a fully discretization scheme of the solution. Moreover, we calculate the rates of convergence for both approximations (Galerkin and fully discretization) with respect to time and to space.

Published
2017

7. Fractional stochastic Burgers‐type equation in Hölder space—Wellposedness and approximations.

Author

Arab, Zineb and Debbi, Latifa

Subjects
*BURGERS' equation, *STOCHASTIC partial differential equations, *FUZZY logic, *EQUATIONS, *GALERKIN methods
Abstract

In this work, we use the spectral Galerkin method to prove the existence of a pathwise unique mild solution of a fractional stochastic partial differential equation of Burgers type in a Hölder space. We get the temporal regularity, and using a combination of Galerkin and exponential‐Euler methods, we obtain a full discretization scheme of the solution. Moreover, we calculate the rates of convergence for both approximations (Galerkin and full discretization) with respect to time and to space. [ABSTRACT FROM AUTHOR]

Published
2021
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