Efficient spectral methods for a class of unsteady-state free-surface ship models using wavelets

An efficient wavelet‐based approximation method for solving nonlinear fractional‐time long wave equations: An operational matrix approach

“…This kind of approach will provide numerical solutions through approximation without considering some restricted assumptions, conversion of linearization, or perturbation, and it will be a very convenient method to solve such problems due to its nature of accompanying the boundary conditions automatically and also having a greater convergence region. Hariharan and his workers [24][25][26][27][28] established wavelet-based techniques for the approximate solutions of nonlinear, fractional PDEs. Singh et al [29][30][31] edited a few books related to nonlinear differential equations and applications.…”

Application of HOHWM for Vibration Analysis of Nanobeams

“…Various algorithms for solving integro-differential and integral equations based on Chen-Hsiao wavelet expansion are given in [11][12][13][14][15][16]. Some recent applications covered by HWM can be outlined as interface models [17], intelligent systems [18], delay differential equations [19], free-surface ship models [20], crack identification [21], etc. The composite structures are explored by applying HWM in [5][6][7]22].…”