Finite Difference Method and Radial Basis Functions are applied to solve partial integro-differential equations with a weakly singular kernel. The product trapezoidal method is used to compute singular integrals that appear in the discretization process. Different RBFs are implemented and satisfactory results are shown the ability and the usefulness of the proposed method.
| Published in | Applied and Computational Mathematics (Volume 4, Issue 6) |
| DOI | 10.11648/j.acm.20150406.17 |
| Page(s) | 445-451 |
| 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 |
Partial Integro-Differential Equations (PIDE), Weakly Singular Kernel, Radial Basis Functions (RBF), Finite Difference Method (FDM), Product Trapezoidal Method
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APA Style
Jafar Biazar, Mohammad Ali Asadi. (2015). FD-RBF for Partial Integro-Differential Equations with a Weakly Singular Kernel. Applied and Computational Mathematics, 4(6), 445-451. https://doi.org/10.11648/j.acm.20150406.17
ACS Style
Jafar Biazar; Mohammad Ali Asadi. FD-RBF for Partial Integro-Differential Equations with a Weakly Singular Kernel. Appl. Comput. Math. 2015, 4(6), 445-451. doi: 10.11648/j.acm.20150406.17
AMA Style
Jafar Biazar, Mohammad Ali Asadi. FD-RBF for Partial Integro-Differential Equations with a Weakly Singular Kernel. Appl Comput Math. 2015;4(6):445-451. doi: 10.11648/j.acm.20150406.17
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Download@article{10.11648/j.acm.20150406.17,
author = {Jafar Biazar and Mohammad Ali Asadi},
title = {FD-RBF for Partial Integro-Differential Equations with a Weakly Singular Kernel},
journal = {Applied and Computational Mathematics},
volume = {4},
number = {6},
pages = {445-451},
doi = {10.11648/j.acm.20150406.17},
url = {https://doi.org/10.11648/j.acm.20150406.17},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20150406.17},
abstract = {Finite Difference Method and Radial Basis Functions are applied to solve partial integro-differential equations with a weakly singular kernel. The product trapezoidal method is used to compute singular integrals that appear in the discretization process. Different RBFs are implemented and satisfactory results are shown the ability and the usefulness of the proposed method.},
year = {2015}
}
TY - JOUR T1 - FD-RBF for Partial Integro-Differential Equations with a Weakly Singular Kernel AU - Jafar Biazar AU - Mohammad Ali Asadi Y1 - 2015/10/23 PY - 2015 N1 - https://doi.org/10.11648/j.acm.20150406.17 DO - 10.11648/j.acm.20150406.17 T2 - Applied and Computational Mathematics JF - Applied and Computational Mathematics JO - Applied and Computational Mathematics SP - 445 EP - 451 PB - Science Publishing Group SN - 2328-5613 UR - https://doi.org/10.11648/j.acm.20150406.17 AB - Finite Difference Method and Radial Basis Functions are applied to solve partial integro-differential equations with a weakly singular kernel. The product trapezoidal method is used to compute singular integrals that appear in the discretization process. Different RBFs are implemented and satisfactory results are shown the ability and the usefulness of the proposed method. VL - 4 IS - 6 ER -
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