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Volume 69 | Issue 5 | Year 2023 | Article Id. IJMTT-V69I5P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I5P503
Radial Basis Function Techniques for Addressing Partial
Differential Equations
Ahmed Jamal Al-Mansor, Muntaha Khudhair Abbas
| Received |
Revised |
Accepted |
Published |
| 23 Mar 2023 |
30 Apr 2023 |
11 May 2023 |
22 May 2023 |
Abstract
In this paper, we have defined radial functions and mentioned their importance and uses in various applications that
fall under different fields.In particular, we talked about the use of radial functions in data interpolation in various dimensions,
and several methods were discussed in this regard, and the advantages and disadvantages of using radial functions in
interpolation. The use of radial functions in solving partial differential equations was also discussed, focusing on their distinctive
properties in the solution, as they are considered mesh-free techniques. Several methods of solving partial differential equations
depending on their radial functions have been mentioned; such as, Kansa method, LRBFCM, RBF-DQ, and RBF-PUM.
Keywords
Radial Basis Functions (RBFs), Data Interpolation, Partial Differential Equations (PDEs), Mesh-free Methods
References
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[CrossRef] [Google Scholar] [Publisher Link] Citation :
Ahmed Jamal Al-Mansor, Muntaha Khudhair Abbas, "Radial Basis Function Techniques for Addressing Partial
Differential Equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 5, pp. 25-35, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I5P503
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