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The alternating segment explicit-implicit scheme for the dispersive equation. (English) Zbl 0996.65083
Summary: We present the alternating segment explicit-implicit scheme for the dispersive equation. The scheme is unconditionally stable and is capable of parallelism. The numerical simulations show that it has better accuracy than some existing schemes.

65M06Finite difference methods (IVP of PDE)
65M12Stability and convergence of numerical methods (IVP of PDE)
35K30Higher order parabolic equations, initial value problems
65Y05Parallel computation (numerical methods)
Full Text: DOI
[1] S. Zhu, G. Yuan and L. Shen, Alternating group explicit method for the dispersive equation, International Journal of Computer Mathematics 75 (to appear). · Zbl 0960.65085
[2] Zhang, B.: Alternating segment explicit-implicit method for diffusion equation. Journal of numerical methods and computational applications 12, 245-251 (1991) · Zbl 0891.65098
[3] Zhang, B.; Li, W.: On alternating segment Crank-Nicolson scheme. Parallel computing 20, 897-902 (1994) · Zbl 0806.65083
[4] Kellogg, R. B.: An alternating direction method for operator equations. SIAM 12, 848-854 (1964) · Zbl 0125.35601
[5] Evans, D. J.; Abdullah, A. R. B.: Group explicit methods for parabolic equations. International journal of computer mathematics 14, 73-105 (1983) · Zbl 0517.65069
[6] Evans, D. J.: Alternating group explicit method for the diffusion equation. Applied mathematical modelling 9, 201-206 (1985) · Zbl 0591.65068