Review on Jacobi-Galerkin Spectral Method for Linear PDEs in Applied Mathematics
Review on Jacobi-Galerkin Spectral Method for Linear PDEs in Applied Mathematics
This study explores the spectral Galerkin approach to solving the space-time Schrödinger, wave, Airy, and beam equations. In order to facilitate the creation of a semi-analytical approximation solution, it uses polynomial bases that are formed from a linear combination of Jacobi polynomials (JPs) in both spatial and temporal dimensions. By …