Even if numerical simulation of the Burgers' equation is well documented in the literature, a
detailed literature survey indicates that gaps still exist for comparative discussion regarding …

Water wave propagation in an open channel network can be described by the viscous
Burgers' equation on the corresponding connected graph, possibly with small viscosity. In …

In this paper, wavelet optimized finite difference B-spline polynomial chaos method is
proposed for solving stochastic partial differential equations. The generalized polynomial …

Burger's equation plays a key role in explaining the behavior of nonlinear systems. In this
paper, Elzaki Homotopy Perturbation Method (EHPM) was applied to (2+ 1) dimensional …

In this article, we propose an adaptive spectral graph wavelet method to solve partial
differential equations on network-like structures using so-called spectral graph wavelets …

In this article, compact finite difference approximations for first and second derivatives on the
non-uniform grid are discussed. The construction of diffusion wavelets using compact finite …

Starting from offering good solution to differential equations to capturing the nonlinearity,
wavelets have gained more and more attention even for handling the uncertainties present …

Explicit numerical finite difference schemes for partial differential equations are well known
to be easy to implement but they are particularly problematic for solving equations whose …

In the present paper, we describe cubic spline combined with high accuracy compact
formulation for computing approximate solution values to nonlinear convection-dominated …

In this paper, spectral graph wavelet optimized finite difference method (SPGWOFD) has
been proposed for solving Burger's equation with distinct boundary conditions. Central finite …