Stepwise Chebyshev collocation approach for nonlinear fractional delay stochastic partial differential equations

Key Points

• The stepwise Chebyshev collocation method provides an effective solution for nonlinear dynamics.
• Numerical experiments reveal significant advantages in accuracy, achieving up to 95% in error reduction.
• Assessment using the Chebyshev collocation technique shows improvements in solving fractional delay equations.
• Highlights the need for advanced numerical methods in tackling complex stochastic partial differential equations.