Fourth Order Accurate Scheme with Multigrid Method for Solving Anisotropic Elliptic Partial Differential Equations
شذا جميل منقل, بثينة سليمان أحمد
Abstract
شذا جميل منقل, بثينة سليمان أحمد
Abstract
In this paper we develop a fourth order finite difference discretization strategy to solve anisotropic elliptic differential equation. We use multigrid V-cycle procedure to built multiscale multigrid method which is similar to the full multigrid method. Numerical result are given to illustrate the efficiently of this method
OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
In this paper we develop a fourth order finite difference discretization strategy to solve anisotropic elliptic differential equation. We use multigrid V-cycle procedure to built multiscale multigrid method which is similar to the full multigrid method. Numerical result are given to illustrate the efficiently of this method
Key concepts: Multigrid method, Discretization, Partial differential equation, Elliptic partial differential equation, Mathematics, Applied mathematics, Numerical partial differential equations, Mathematical analysis