Fixed point theory and algorithms for sciences and engineering, 2023-06, Vol.2023 (1), p.9-17, Article 9
2023
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Details
- Autor(en) / Beteiligte
- Titel
- Parametric quintic spline for time fractional Burger’s and coupled Burgers’ equations
- Ist Teil von
- Fixed point theory and algorithms for sciences and engineering, 2023-06, Vol.2023 (1), p.9-17, Article 9
- Ort / Verlag
- Cham: Springer International Publishing
- Erscheinungsjahr
- 2023
- Quelle
- Alma/SFX Local Collection
- Beschreibungen/Notizen
- In this paper, the numerical solutions of time fractional Burger’s and coupled Burgers’ equations are obtained using the parametric quintic spline method with a local truncation error of order eight in distance direction. Additionally, the von Neumann method was utilized for studying the stability analysis of the present method. Finally, to show the accuracy of this method, some examples with different cases for Burger’s and coupled Burgers’ equations are presented and their results are compared with the previous methods.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 2730-5422eISSN: 2730-5422DOI: 10.1186/s13663-023-00740-3Titel-ID: cdi_doaj_primary_oai_doaj_org_article_56751776fc1f4784baf66e5692ae357c
- Format
- –
- Schlagworte
- Algorithms, Analysis, Applications of Mathematics, Burgers equation, Contact Mechanics and Engineering Applications, Differential Geometry, Fractional Burger’s equation, Fractional coupled Burger’s equations, Mathematical and Computational Biology, Mathematics, Mathematics and Statistics, Parametric quintic spline method, Partial differential equations, Stability analysis, Topology, Truncation errors, Von Neumann stability analysis