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.
| Published in |
Applied and Computational Mathematics (Volume 4, Issue 3-1)
This article belongs to the Special Issue Integral Representation Method and its Generalization |
| DOI | 10.11648/j.acm.s.2015040301.14 |
| Page(s) | 52-58 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
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
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| [2] | S. J. Uhlman, “An integral equation formulation of the equations of motion of an incompressible fluid”, NUWC-NPT Technical Report 10,086, 15 July, (1992). |
| [3] | H. Isshik, S. Nagata, Y. Imai, “Solution of Viscous Flow around a Circular Cylinder by a New Integral Representation Method (NIRM)”, AJET, 2, 2, (2014), pp. 60-82. file:///C:/Users/l/Downloads/983-5001-1-PB%20(1).pdf |
| [4] | H. Isshik, S. Nagata, Y. Imai, “Solution of a diffusion problem in a non-homogeneous flow and diffusion field by the integral representation method (IRM)”, Applied and Computational Mathematics, 3(1), (2014), pp. 15-26. http://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140301.13.pdf |
| [5] | H. Isshiki, Theory and application of the generalized integral representation method (GIRM) in advection diffusion problem, Applied and Computational Mathematics, 3(4), (2014), pp. 137-149. http://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20140304.15.pdf |
| [6] | 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 |
| [7] | H. Isshiki, From Integral Representation Method (IRM) to 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 |
| [8] | 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 |
APA Style
Hiroshi Isshiki. (2015). Application of the Generalized Integral Representation Method (GIRM) to Tidal Wave Propagation. Applied and Computational Mathematics, 4(3-1), 52-58. https://doi.org/10.11648/j.acm.s.2015040301.14
ACS Style
Hiroshi Isshiki. Application of the Generalized Integral Representation Method (GIRM) to Tidal Wave Propagation. Appl. Comput. Math. 2015, 4(3-1), 52-58. doi: 10.11648/j.acm.s.2015040301.14
AMA Style
Hiroshi Isshiki. Application of the Generalized Integral Representation Method (GIRM) to Tidal Wave Propagation. Appl Comput Math. 2015;4(3-1):52-58. doi: 10.11648/j.acm.s.2015040301.14
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Download@article{10.11648/j.acm.s.2015040301.14,
author = {Hiroshi Isshiki},
title = {Application of the Generalized Integral Representation Method (GIRM) to Tidal Wave Propagation},
journal = {Applied and Computational Mathematics},
volume = {4},
number = {3-1},
pages = {52-58},
doi = {10.11648/j.acm.s.2015040301.14},
url = {https://doi.org/10.11648/j.acm.s.2015040301.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.s.2015040301.14},
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.},
year = {2015}
}
TY - JOUR T1 - Application of the Generalized Integral Representation Method (GIRM) to Tidal Wave Propagation AU - Hiroshi Isshiki Y1 - 2015/03/26 PY - 2015 N1 - https://doi.org/10.11648/j.acm.s.2015040301.14 DO - 10.11648/j.acm.s.2015040301.14 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 52 EP - 58 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.s.2015040301.14 AB - 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. VL - 4 IS - 3-1 ER -
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