A Single Sweep AGE Algorithm on a Variable Mesh Based on Off-Step Discretization for the Solution of Nonlinear Burgers' Equation. (16th January 2014)

• Record Type: Journal Article
• Authors: Mohanty, R. K.; Talwar, Jyoti
• Other Names: Rosales Marta B. Academic Editor.
• Is Part Of: Journal of computational methods in physics. Volume 2014(2014)
• Publication Date: 2014-01-16
• Subjects: Physics -- Data processing -- Periodicals; Mathematical physics -- Data processing -- Periodicals; Mathematical physics -- Data processing; Physics -- Data processing; Electronic journals; Periodicals; Electronic journals; 530.0285
• DOI: 10.1155/2014/853198
• Languages: English
• ISSNs: 2356-7287

Abstract

Abstract : We discuss a new single sweep alternating group explicit iteration method, along with a third-order numerical method based on off-step discretization on a variable mesh to solve the nonlinear ordinary differential equationy ′′ = f ( x, y, y ′ ) subject to given natural boundary conditions. Using the proposed method, we have solved Burgers' equation both in singular and nonsingular cases, which is the main attraction of our work. The convergence of the proposed method is discussed in detail. We compared the results of the proposed iteration method with the results of the corresponding double sweep alternating group explicit iteration methods to demonstrate computationally the efficiency of the proposed method.