... of linear systems, NNMs often exhibit frequency–energy dependence and cannot be computed using the traditional eigen-decomposition method. Calculating NNMs relies on numerical methods that involve expensive iterative computations, especially for systems with numerous degrees-of-freedom. To relieve...

... for benchmark problems show that, the FE-LSPIM yields considerably better results than the finite element method (FEM) and element-free Galerkin method (EFGM). acoustic numerical method FEM element-free Galerkin method FE-LSPIM dispersion analysis Numerical solutions of acoustic problems...

..., and show that this leads to a significantly improved quality. Our idea also works for operators of order greater than 1. damping differential equations integration mathematical operators numerical analysis vibrations fractional derivative numerical method Yuan–Agrawal method...