Finite difference Laguerre-Legendre spectral method for the two-dimensional generalized Oldroyd-B fluid on a semi-infinite domain

X Chi, X Jiang - Applied Mathematics and Computation, 2021 - Elsevier
In this paper, we study the numerical solution for a two-dimensional generalized Oldroyd-B
fluid flowing on a semi-infinite domain. The second order θ scheme with the weighted and …

A multi-domain spectral collocation method for the Fokker–Planck equation in an infinite channel

J Tan, T Wang - Mathematics and Computers in Simulation, 2024 - Elsevier
In this paper, we propose a multi-domain spectral collocation method for partial differential
equations on two-dimensional unbounded domains. Some approximation results on the …

A multi-domain Galerkin method with numerical integration for the Burgers equation

C Wang, T Wang - International Journal of Computer Mathematics, 2023 - Taylor & Francis
A multi-domain Galerkin method is presented for the Burgers equation, whose solutions
behave differently at positive infinity and negative infinity. The original problem is …

A New Multi-Domain Spectral Method for Korteweg-de Vries Equation on The Whole Line

T Wang - Journal of Scientific Computing, 2022 - Springer
Abstract Some composite generalized Laguerre-Legendre quasi-orthogonal approximation
results on the whole line are established. A novel multi-domain composite generalized …