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math.NA2022
A novel difference equation approach for the stability and robustness of compact schemes for variable coefficient PDEs
Anindya Goswami, Kuldip Singh Patel, Pradeep Kumar Sahu
Fourth-order accurate compact schemes for variable coefficient convection diffusion equations are considered. A sufficient condition for the stability of the fully discrete problem…
q-fin.CP2022
Matrix method stability and robustness of compact schemes for parabolic PDEs
Anindya Goswami, Kuldip Singh Patel
The fully discrete problem for convection-diffusion equation is considered. It comprises compact approximations for spatial discretization, and Crank-Nicolson scheme for temporal d…