A Linearized Difference Scheme for Rosenau-KdV-RLW Equation

LI Jiajia; WANG Xi; ZHANG Hong; HU Jingsong

doi:10.3969/j.issn.1673-159X.2019.04.017

LI Jiajia, WANG Xi, ZHANG Hong, HU Jingsong. A Linearized Difference Scheme for Rosenau-KdV-RLW Equation[J]. Journal of Xihua University(Natural Science Edition), 2019, 38(4): 108-112. DOI: 10.3969/j.issn.1673-159X.2019.04.017

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A Linearized Difference Scheme for Rosenau-KdV-RLW Equation

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In this paper, the numerical solution of the initial-boundary value problem for Rosenau-KdV-RLW equation under homogeneous boundary was considered. A three-level linear difference scheme was proposed and the existence and uniqueness of the difference solutions were also proved. Furthermore, it is proved that the difference scheme is second-order convergence and unconditionally stable through the method of discrete function analysis.

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A Linearized Difference Scheme for Rosenau-KdV-RLW Equation

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