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Application of the Generalized Integral Representation Method (GIRM) to Tidal Wave Propagation
Applied and Computational Mathematics
Volume 4, Issue 3-1, June 2015, Pages: 52-58
Received: Feb. 25, 2015; Accepted: Feb. 25, 2015; Published: Mar. 26, 2015
Author
Hiroshi Isshiki, IMA, Institute of Mathematical Analysis, Osaka, Japan
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Abstract
Integral Representation Method (IRM) is one of convenient methods to solve Initial and Boundary Value Problems (IBVP). It can be applied to irregular mesh, and the solution is stable and accurate. IRM is developed to Generalized Integral Representation Method (GIRM) to treat any kinds of problems including nonlinear problems. In GIRM, Generalized Fundamental Solution (GFS) is used instead of Fundamental Solution (FS) in IRM. We can use a variety of GFSs in GIRM. The effects of typical GFSs are investigated. In the present paper, an application of GIRM to tidal wave propagation is discussed, and the time evolution involves the second order time derivatives. An explicit time evolution is used successfully in the present paper.
Keywords
Initial and Boundary Value Problems (IBVP), Generalized Integral Representation Method (GIRM), Generalized Fundamental Solution (GFS), Second Order Time Derivatives in Time Evolution, Tidal Wave Propagation
Hiroshi Isshiki, Application of the Generalized Integral Representation Method (GIRM) to Tidal Wave Propagation, Applied and Computational Mathematics. Special Issue: Integral Representation Method and its Generalization. Vol. 4, No. 3-1, 2015, pp. 52-58. doi: 10.11648/j.acm.s.2015040301.14
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H. Isshiki, T, Takiya and H. Niizato, Application of Generalized Integral representation (GIRM) Method to Fluid Dynamic Motion of Gas or Particles in Cosmic Space Driven by Gravitational Force, Applied and Computational Mathematics, Special Issue: Integral Representation Method and Its Generalization, (2015), under publicaion. http://www.sciencepublishinggroup.com/journal/archive.aspx?journalid=147&issueid=-1
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H. Isshiki, Effects of Generalized Fundamental Solution (GFS) on Generalized Integral Representation Method (GIRM), Special Issue: Integral Representation Method and Its Generalization, (2015), under publicaion. http://www.sciencepublishinggroup.com/journal/archive.aspx?journalid=147&issueid=-1
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