A second order fractional step hybrid numerical algorithm for time delayed singularly perturbed 2D convection-diffusion problems
S Priyadarshana, J Mohapatra, SR Pattanaik - Applied Numerical …, 2023 - Elsevier
The objective of this work is to provide an efficient and higher-order numerical scheme for
the solution of a singularly perturbed 2D time-delayed parabolic convection-diffusion …
the solution of a singularly perturbed 2D time-delayed parabolic convection-diffusion …
Multistep asymptotic pre-training strategy based on PINNs for solving steep boundary singular perturbation problems
F Cao, F Gao, D Yuan, J Liu - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
The singularly perturbed problem is characterized by the presence of narrow boundary
layers, which poses challenges for traditional numerical methods due to complexity and high …
layers, which poses challenges for traditional numerical methods due to complexity and high …
A numerical investigation of singularly perturbed 2D parabolic convection–diffusion problems of delayed type based on the theory of reproducing kernels
PA Balootaki, RK Ghaziani, M Fardi, MT Kajani - Soft Computing, 2024 - Springer
Studying convection–diffusion problems of delayed type in physics helps us to understand
transport phenomena and has practical applications in various fields. The mathematical …
transport phenomena and has practical applications in various fields. The mathematical …
Convergence analysis of higher-order approximation of singularly perturbed 2D semilinear parabolic PDEs with non-homogeneous boundary conditions
NS Yadav, K Mukherjee - Applied Numerical Mathematics, 2024 - Elsevier
This article focuses on developing and analyzing an efficient higher-order numerical
approximation of singularly perturbed two-dimensional semilinear parabolic convection …
approximation of singularly perturbed two-dimensional semilinear parabolic convection …
A Dimensional-Splitting Weak Galerkin Finite Element Method for 2D Time-Fractional Diffusion Equation
In this article, the weak Galerkin finite element method, coupled with an operator-splitting
method or known as dimensional-splitting technique, is proposed to solve a class of 2D time …
method or known as dimensional-splitting technique, is proposed to solve a class of 2D time …
Efficient finite element method for 2D singularly perturbed parabolic convection diffusion problems with discontinuous source term
R Soundararajan, V Subburayan - Computational and Applied …, 2024 - Springer
This article presents a numerical solution for a specific class of 2D parabolic singularly
perturbed convection-diffusion problems with a special interior line source. The proposed …
perturbed convection-diffusion problems with a special interior line source. The proposed …