In this work, high order splitting methods have been used for calculating the numerical
solutions of Burgers' equation in one space dimension with periodic, Dirichlet, Neumann …

In this paper, we develop an optimized hybrid block method which is combined with a
modified cubic B-spline method, for solving non-linear partial differential equations. In …

This paper introduces new fully implicit numerical schemes for solving 1D and 2D unsteady
Burgers' equation. The non-linear Burgers' equation is discretized in the spatial direction by …

Most of the existing numerical schemes developed to solve Burgers' equation cannot exhibit
its correct physical behavior for very small values of viscosity. This difficulty can be overcome …

This paper deals with singularly perturbed boundary value problem for a linear second order
delay differential equation. It is known that the classical numerical methods are not …

Purpose–The purpose of this paper is to present an approach capable of solving Burgers'
equation. Diagonal Padé approximation with a factorization scheme is applied to find …

Purpose The purpose of this study is to propose a non-classical method to obtain efficient
and accurate numerical solutions of the advection–diffusion–reaction equations …

In this paper, a finite element method (FEM) with cubic Hermite element is presented to
acquire the numerical solution (ns) for the one-dimensional Burgers' equation (BE). We …

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 …

Most of phenomena in the nature are non-linear and modelled by nonlinear equations. One
of the most celebrated quasi-linear parabolic partial differential equations, which governs …