Comparative Numerical Solution of Fractional Spline with Continuity Equations
In this paper, constructed a fractional polynomial spline to compute the solution of FDEs; the spline interpolation with fractional polynomial coefficients must be constructed using the Caputo fractional derivative. For the provided spline function, error bounds were studied and a stability analysi...
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| Format: | Article |
| Language: | English |
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Tikrit University
2023-04-01
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| Series: | Tikrit Journal of Pure Science |
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| Online Access: | https://tjpsj.org/index.php/tjps/article/view/1344 |
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| author | Faraidun K. Hamasalh Seaman S. Hamasalh |
| author_facet | Faraidun K. Hamasalh Seaman S. Hamasalh |
| author_sort | Faraidun K. Hamasalh |
| collection | DOAJ |
| description |
In this paper, constructed a fractional polynomial spline to compute the solution of FDEs; the spline interpolation with fractional polynomial coefficients must be constructed using the Caputo fractional derivative. For the provided spline function, error bounds were studied and a stability analysis was completed. To consider the numerical explanation for the provided method and compared, three examples were studied. The fractional spline function, which interpolates data, appears to be useful and accurate in solving unique problems, according to the research.
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| format | Article |
| id | doaj-art-bf44fd75abf0450287ed6b5da95e5f2c |
| institution | DOAJ |
| issn | 1813-1662 2415-1726 |
| language | English |
| publishDate | 2023-04-01 |
| publisher | Tikrit University |
| record_format | Article |
| series | Tikrit Journal of Pure Science |
| spelling | doaj-art-bf44fd75abf0450287ed6b5da95e5f2c2025-08-20T03:17:47ZengTikrit UniversityTikrit Journal of Pure Science1813-16622415-17262023-04-0128210.25130/tjps.v28i2.1344Comparative Numerical Solution of Fractional Spline with Continuity EquationsFaraidun K. HamasalhSeaman S. Hamasalh In this paper, constructed a fractional polynomial spline to compute the solution of FDEs; the spline interpolation with fractional polynomial coefficients must be constructed using the Caputo fractional derivative. For the provided spline function, error bounds were studied and a stability analysis was completed. To consider the numerical explanation for the provided method and compared, three examples were studied. The fractional spline function, which interpolates data, appears to be useful and accurate in solving unique problems, according to the research. https://tjpsj.org/index.php/tjps/article/view/1344Spline polynomialCaputo fractional derivativeTaylor’s expansionfractional polynomialfractional derivativestability analysis |
| spellingShingle | Faraidun K. Hamasalh Seaman S. Hamasalh Comparative Numerical Solution of Fractional Spline with Continuity Equations Tikrit Journal of Pure Science Spline polynomial Caputo fractional derivative Taylor’s expansion fractional polynomial fractional derivative stability analysis |
| title | Comparative Numerical Solution of Fractional Spline with Continuity Equations |
| title_full | Comparative Numerical Solution of Fractional Spline with Continuity Equations |
| title_fullStr | Comparative Numerical Solution of Fractional Spline with Continuity Equations |
| title_full_unstemmed | Comparative Numerical Solution of Fractional Spline with Continuity Equations |
| title_short | Comparative Numerical Solution of Fractional Spline with Continuity Equations |
| title_sort | comparative numerical solution of fractional spline with continuity equations |
| topic | Spline polynomial Caputo fractional derivative Taylor’s expansion fractional polynomial fractional derivative stability analysis |
| url | https://tjpsj.org/index.php/tjps/article/view/1344 |
| work_keys_str_mv | AT faraidunkhamasalh comparativenumericalsolutionoffractionalsplinewithcontinuityequations AT seamanshamasalh comparativenumericalsolutionoffractionalsplinewithcontinuityequations |