An efficient numerical scheme in reproducing kernel space for space fractional partial differential equations

A numerical approach is proposed for space fractional partial differential equations by the reproducing kernel approach. Some procedures are presented for improving the existing methods. The presented method is easy to accomplish. Approximate solutions and their partial derivatives are shown to conv...

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Veröffentlicht in:AIMS mathematics 2024-01, Vol.9 (11), p.33286-33300
Hauptverfasser: Liu, Boyu, Wang, Wenyan
Format: Artikel
Sprache:eng
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Zusammenfassung:A numerical approach is proposed for space fractional partial differential equations by the reproducing kernel approach. Some procedures are presented for improving the existing methods. The presented method is easy to accomplish. Approximate solutions and their partial derivatives are shown to converge to exact solutions, respectively. Experiments show that the presented technique is efficient, and that high-precision global approximate solutions can be obtained.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.20241588