Wavelet method is a recently developed tool in applied mathematics. Investigation of various
wavelet methods, for its capability of analyzing various dynamic phenomena through waves …

We propose the numerical method for solving coefficient inverse problem for a nonlinear
singularly perturbed reaction-diffusion-advection equation with the final time observation …

With physics-informed neural networks (PINNs), inverse problems involving differential
equations can be solved despite noise, sparsity, and varying levels of fidelity. The objective …

In the present work, we observe the dynamical behavior of nonlinear and supernonlinear
traveling waves for Sharma–Tasso–Olver (STO) equation. Exact solutions are derived using …

This paper deals with proposing an approximate solution for the well-known Burgers
equation as a canonical model of various fields of science and engineering. Our novel …

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 the present paper, a high-order finite volume compact scheme is proposed to solve one
dimensional Burgers' equation. The nonlinear advective terms are computed by the fifth …

In this work, a novel numerical scheme based on method of lines (MOL) is proposed to solve
the nonlinear time dependent Burgers' equation. The Burgers' equation is semi discretized …

In this paper, we present a novel and simple Yee Finite-Difference Time-Domain (FDTD)
scheme to solve numerically the nonlinear second-order thermoviscous Navier–Stokes and …

This article deals with a numerical approach based on the symmetric space-time Chebyshev
spectral collocation method for solving different types of Burgers equations with Dirichlet …