PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method

Author:

Xu Yongjun

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mechanics of Materials,Computational Mechanics

Reference26 articles.

1. Liskovets A. The method of lines (review). English translation appeared in Differential Equation’. 1965;(1):1308–23.

2. Meyer GH. An application of the method of lines to mutidimensional free boundary problems. J Inst Math Appl. 1977;20(3):317–29.

3. Meyer GH. The method of line for Poisson’s equation with nonlinear or free boundary conditions. Numerische Mathematik. 1978;29:329–44.

4. Meyer GH. The method of line and invariant imbedding for elliptic and parabolic free boundary problem. SIAM J Numer Anal. 1981;18(1):150–64.

5. Janac K. Hybrid solution of the Poisson equation. In: Vichnetsky R (ed) Advances in computer methods for partial differential equation;1975. p. 154–8.

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