2010•Boundary Value ProblemsOpen access

Two Conservative Difference Schemes for the Generalized Rosenau Equation

Jinsong Hu, Kelong Zheng

Abstract

Numerical solutions for generalized Rosenau equation are considered and two energy conservative finite difference schemes are proposed. Existence of the solutions for the difference scheme has been shown. Stability, convergence, and priori error estimate of the scheme are proved using energy method. Numerical results demonstrate that two schemes are efficient and reliable.

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Key concepts: Mathematics, Partial differential equation, A priori and a posteriori, Convergence (economics), Ordinary differential equation, Finite difference method, Finite difference, Stability (learning theory)