Stochastic Burgers type equations with reflection: Existence, uniqueness
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.05.008
Abstract: Abstract In this paper, we establish the existence and uniqueness of solutions of reflected stochastic Burgers-type equations. The main difficulty is to deal with the highly non-linear coefficients and the singularities caused by the reflection. read more here.
Keywords: type equations; burgers type; stochastic burgers; reflection ... See more keywords
On a mixed fractional Burgers type equation with polynomial nonlinearity and perturbed by fractional Brownian sheet
Sign Up to like & getrecommendations! Published in 2020 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2020.1820348
Abstract: Abstract In this paper, we discuss a class of stochastic nonlinear partial differential equation of Burgers type driven by pseudo differential operator for and fractional Brownian sheet. The existence and uniqueness of an Lp-valued (local)… read more here.
Keywords: fractional brownian; mixed fractional; brownian sheet; equation ... See more keywords
New exact solutions of Burgers’ type equations with conformable derivative
Sign Up to like & getrecommendations! Published in 2017 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2016.1205237
Abstract: In this paper, the new exact solutions for some nonlinear partial differential equations are obtained within the newly established conformable derivative. We use the first integral method to establish the exact solutions for time-fractional Burgers’… read more here.
Keywords: conformable derivative; type equations; solutions burgers; new exact ... See more keywords
Deep neural network method for solving the fractional Burgers-type equations with conformable derivative
Sign Up to like & getrecommendations! Published in 2023 at "Physica Scripta"
DOI: 10.1088/1402-4896/acd307
Abstract: In this article, we introduce the modified physics-informed neural network (PINN) method for finding data-driven solutions of three classes of time-fractional Burgers-type equations under the conformable sense. Since conformable derivative satisfies the chain rule, automatic… read more here.
Keywords: neural network; type equations; equations conformable; fractional burgers ... See more keywords
Asymptotic Solution of Coefficient Inverse Problems for Burgers-Type Equations
Sign Up to like & getrecommendations! Published in 2020 at "Computational Mathematics and Mathematical Physics"
DOI: 10.1134/s0965542520060123
Abstract: For a singularly perturbed reaction–diffusion–advection equation, called in applications a Burgers-type equation and having a time-periodic solution with an internal transition layer, asymptotic analysis is used to solve some inverse problems of reconstructing model parameters… read more here.
Keywords: solution coefficient; asymptotic solution; solution; inverse problems ... See more keywords
Numerical approximation of time-fractional Burgers-type equation
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-02578-0
Abstract: In this work, we analyze and test a local discontinuous Galerkin method for solving the Burgers-type equation. The proposed numerical method, which is high-order accurate, is based on a finite difference scheme in time and… read more here.
Keywords: numerical approximation; approximation time; burgers type; type equation ... See more keywords