Extended multi-step high-order numerical methods for the nonlinear convection-diffusion-reaction equation with vanishing delay

Key Points

• Improved stability observed in high-order numerical methods for nonlinear convection-diffusion-reaction equations, enhancing solution accuracy.
• Computational efficiency increased by employing extended multi-step techniques, allowing faster evaluations of complex models.
• Analysis conducted on nonlinear convection-diffusion-reaction equations with vanishing delay, providing insights on dynamic behaviors.
• Methodological advancements may enable better predictive capabilities in various applied mathematical and engineering fields.