20 research outputs found
Distributed Approximating Functional Approach to Burgers\u2019 Equation using Element Differential Quadrature Method
This paper presents a computationally efficient and an accurate
methodology in differential quadrature element method (EDQM) analysis
of the nonlinear one-dimensional Burgers\u2019 equation. Based on this
approach, the total spatial and temporal domain is divided into a set
of sub-domain and in each sub-domain, the DQ rule is employed to
discretize the spatial and temporal domain derivatives. This equation
is similar to, but simpler than, the Navier-Stokes equation in fluid
dynamics. To verify this advantage through some comparison studies, an
exact series solution are also obtained. In addition, the presented
scheme has numerically stable behavior. After demonstrating the
convergence and accuracy of the method, the effects of velocity
parameters on the viscosity distribution are studied. It is found that
element differential quadrature method provides highly accurate an
exact series solution for Burgers, equation, while a small number of
grid points is needed
Distributed Approximating Functional Approach to Burgersā Equation using Element Differential Quadrature Method
This paper presents a computationally efficient and an accurate
methodology in differential quadrature element method (EDQM) analysis
of the nonlinear one-dimensional Burgersā equation. Based on this
approach, the total spatial and temporal domain is divided into a set
of sub-domain and in each sub-domain, the DQ rule is employed to
discretize the spatial and temporal domain derivatives. This equation
is similar to, but simpler than, the Navier-Stokes equation in fluid
dynamics. To verify this advantage through some comparison studies, an
exact series solution are also obtained. In addition, the presented
scheme has numerically stable behavior. After demonstrating the
convergence and accuracy of the method, the effects of velocity
parameters on the viscosity distribution are studied. It is found that
element differential quadrature method provides highly accurate an
exact series solution for Burgers, equation, while a small number of
grid points is needed