A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers') equations

AK Mittal - Applied Numerical Mathematics, 2024 - Elsevier
The viscous Burgers' equation is a kind of quasi-linear important partial differential equation
appeared in many fields. The nonlinear term contained in this equation results in difficulty in …

Finite element analysis for microscale heat equation with Neumann boundary conditions

MH Hashim, AJ Harfash - Iranian Journal of Numerical Analysis and …, 2024 - ijnao.um.ac.ir
In this paper, we explore the numerical analysis of the microscale heat equation. We present
the characteristics of numerical solutions obtained through both semi-and fully-discrete …