Stability and convergence analysis of reduced-order finite difference schemes for a class of nonlinear time-fractional partial differential equations

Key Points

• Stability and convergence are crucial for ensuring accurate reduction of complex models.
• Significant improvements in scheme efficiency were observed through numerical methods applied to equations.
• Reduced-order finite difference schemes optimize computational cost while maintaining accuracy.
• Insights from this analysis may enable broader application of numerical techniques in real-world problems.