Application of Said Ball Curve for Solving Fractional Differential-Algebraic Equations
| Autor: | Samad Noeiaghdam, Fateme Ghomanjani |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Differential equation
General Mathematics Order (ring theory) Bézier curve Said Ball curve Algebraic equation fractional differential equation Convergence (routing) QA1-939 Computer Science (miscellaneous) Applied mathematics Ball (mathematics) Fractional differential Engineering (miscellaneous) Approximate solution Mathematics |
| Zdroj: | Mathematics, Vol 9, Iss 1926, p 1926 (2021) Mathematics Volume 9 Issue 16 |
| ISSN: | 2227-7390 |
| DOI: | 10.3390/math9161926 |
| Popis: | The aim of this paper is to apply the Said Ball curve (SBC) to find the approximate solution of fractional differential-algebraic equations (FDAEs). This method can be applied to solve various types of fractional order differential equations. Convergence theorem of the method is proved. Some examples are presented to show the efficiency and accuracy of the method. Based on the obtained results, the SBC is more accurate than the Bezier curve method. |
| Databáze: | OpenAIRE |
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