An Efficient Spectral Method for Fourth-Order PDEs in Complex Geometries

Key Points

• The analysis shows a significant reduction in computational time for solving fourth-order PDEs in complex geometries.
• Key evidence includes improvements in convergence rates, outperforming traditional methods in specific scenarios.
• The method utilizes a novel spectral approach, ensuring high accuracy while addressing complex boundary conditions.
• This work highlights potential advancements in numerical analysis, calling for further exploration of spectral methods in applied mathematics.