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. Since GFS is not limited to one, the effects of individual GFSs must be clarified. The continuity of GFS is related to the characteristics of individual GFSs.
| DOI | 10.11648/j.acm.s.2015040301.13 |
| Published in |
Applied and Computational Mathematics (Volume 4, Issue 3-1, June 2015)
This article belongs to the Special Issue Integral Representation Method and its Generalization |
| Page(s) | 40-51 |
| 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. |
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Copyright © The Author(s), 2024. Published by Science Publishing Group |
Initial and Boundary Value Problems (IBVP), Integral Representation Method (IRM), Generalized Integral Representation Method (GIRM), Generalized Fundamental Solution (GFS)
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APA Style
Hiroshi Isshiki. (2015). Effects of Generalized Fundamental Solution (GFS) on Generalized Integral Representation Method (GIRM). Applied and Computational Mathematics, 4(3-1), 40-51. https://doi.org/10.11648/j.acm.s.2015040301.13
ACS Style
Hiroshi Isshiki. Effects of Generalized Fundamental Solution (GFS) on Generalized Integral Representation Method (GIRM). Appl. Comput. Math. 2015, 4(3-1), 40-51. doi: 10.11648/j.acm.s.2015040301.13
AMA Style
Hiroshi Isshiki. Effects of Generalized Fundamental Solution (GFS) on Generalized Integral Representation Method (GIRM). Appl Comput Math. 2015;4(3-1):40-51. doi: 10.11648/j.acm.s.2015040301.13
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Download@article{10.11648/j.acm.s.2015040301.13,
author = {Hiroshi Isshiki},
title = {Effects of Generalized Fundamental Solution (GFS) on Generalized Integral Representation Method (GIRM)},
journal = {Applied and Computational Mathematics},
volume = {4},
number = {3-1},
pages = {40-51},
doi = {10.11648/j.acm.s.2015040301.13},
url = {https://doi.org/10.11648/j.acm.s.2015040301.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.s.2015040301.13},
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. Since GFS is not limited to one, the effects of individual GFSs must be clarified. The continuity of GFS is related to the characteristics of individual GFSs.},
year = {2015}
}
TY - JOUR T1 - Effects of Generalized Fundamental Solution (GFS) on Generalized Integral Representation Method (GIRM) AU - Hiroshi Isshiki Y1 - 2015/03/13 PY - 2015 N1 - https://doi.org/10.11648/j.acm.s.2015040301.13 DO - 10.11648/j.acm.s.2015040301.13 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 40 EP - 51 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.s.2015040301.13 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. Since GFS is not limited to one, the effects of individual GFSs must be clarified. The continuity of GFS is related to the characteristics of individual GFSs. VL - 4 IS - 3-1 ER -
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