A compact difference scheme for a two dimensional nonlinear fractional Klein–Gordon equation in polar coordinates. (June 2016)

• Record Type: Journal Article
• Authors: Wang, Zhibo; Vong, Seakweng
• Is Part Of: Computers & mathematics with applications. Volume 71:issue 12(2016)
• Page Start: 2524
• Page End: 2540
• Publication Date: 2016-06
• Subjects: Two dimensional fractional Klein–Gordon equation -- Compact difference scheme -- Polar coordinates -- Stability -- Convergence; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2016.04.005
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this paper, a high order finite difference scheme for a two dimensional nonlinear fractional Klein–Gordon equation in polar coordinates is proposed. The difficulty caused by the variable coefficient and the nonlinear term in the equation is carefully handled. Stability and convergence are analyzed using the matrix form of the scheme. Numerical examples are provided to demonstrate the theoretical results.