Difference Schemes for the Loaded Convection-Diffusion Equation in a Multidimensional Domain

Key Points

• The difference schemes achieve enhanced stability in the convection-diffusion equation across multidimensional domains.
• Numerical tests show improved accuracy in solutions, confirming the effectiveness of the proposed schemes.
• Analysis of stability criteria indicates favorable performance over traditional methods in various scenarios.
• Results from numerical analysis illustrate practical applications in engineering and physical sciences, supporting broader utilization.