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Lesnic, D.; Zhao, C.

Algorithmization and mechanization of the Cauchy problem associated with the plate equation. (English) Zbl 1112.74022

Int. J. Comput. Math. 84, No. 1, 51 - 56 (2007).
Summary: This paper develops the algorithm and mechanization of Cauchy problem associated with plate equation. The solution is obtained in terms of initial data on the deflection of the plate and the load term. Thereafter, the algorithmization formulae are used in MAPLE to solve the Cauchy problem automatically.

MSC:

74H15 Numerical approximation of solutions of dynamical problems in solid mechanics
74K20 Plates

Keywords:

decomposition method; MAPLE

Software:

Maple
Cite Review PDF
Full Text: DOI

References:

[1] Gao X., shape Advances in Mathematics 30 pp 385– (2001)
[2] Gao X., Mathematical Mechanization and Applications (2001)
[3] DOI: 10.1016/j.amc.2004.11.009 · Zbl 1080.65102 · doi:10.1016/j.amc.2004.11.009
[4] DOI: 10.1016/j.amc.2004.06.126 · Zbl 1080.65101 · doi:10.1016/j.amc.2004.06.126
[5] DOI: 10.1016/j.amc.2005.02.058 · Zbl 1092.65078 · doi:10.1016/j.amc.2005.02.058
[6] DOI: 10.1016/j.amc.2006.01.025 · Zbl 1148.65081 · doi:10.1016/j.amc.2006.01.025
[7] DOI: 10.1016/S0096-3003(98)10124-8 · Zbl 1022.65067 · doi:10.1016/S0096-3003(98)10124-8
[8] Jiang L., shape Lectures in Mathematical Physics Equations (1986)
[9] DOI: 10.1016/j.mcm.2006.03.018 · Zbl 1134.74022 · doi:10.1016/j.mcm.2006.03.018
[10] DOI: 10.1016/0898-1221(92)90031-C · Zbl 0777.35018 · doi:10.1016/0898-1221(92)90031-C
[11] DOI: 10.1016/S0096-3003(95)00327-4 · Zbl 0882.65132 · doi:10.1016/S0096-3003(95)00327-4
[12] DOI: 10.1016/S0096-3003(98)10024-3 · Zbl 0928.65083 · doi:10.1016/S0096-3003(98)10024-3
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