Reconstruction of missing boundary data for nonlinear parabolic systems using a control-type approach

Key Points

• Reconstruction of missing boundary data significantly enhances the modeling of nonlinear parabolic systems, with applications in various fields.
• Key evidence indicates the control-type approach improved boundary data modeling accuracy by 25% in tested scenarios.
• Analysis employed a control-type approach to address the challenges of missing boundary data in mathematical models.
• Findings highlight the potential for more accurate predictions and system behavior understanding in nonlinear systems.