In this study, we introduce a high-order technique based on quadratic interpolation in the constructed subintervals. This schema can be used to obtain highly accurate solutions with convergence order O(h3+β) for 0 < β ≤ 1 and step size h in fractional problem types. More precisely, we apply this proposed approach to construct a numerical algorithm for the fractional Riccati differential equation. The capability and accuracy of the discretization plan are demonstrated with two examples.
Azin,H and Iloon Kashkooly,A . (2024). Multi step scheme for the approximation of the fractional Riccati differential equation. Journal of Frame and Matrix Theory, 1(2), 60-72. doi: 10.22034/jfmt.2024.458069.1013
MLA
Azin,H , and Iloon Kashkooly,A . "Multi step scheme for the approximation of the fractional Riccati differential equation", Journal of Frame and Matrix Theory, 1, 2, 2024, 60-72. doi: 10.22034/jfmt.2024.458069.1013
HARVARD
Azin H, Iloon Kashkooly A. (2024). 'Multi step scheme for the approximation of the fractional Riccati differential equation', Journal of Frame and Matrix Theory, 1(2), pp. 60-72. doi: 10.22034/jfmt.2024.458069.1013
CHICAGO
H Azin and A Iloon Kashkooly, "Multi step scheme for the approximation of the fractional Riccati differential equation," Journal of Frame and Matrix Theory, 1 2 (2024): 60-72, doi: 10.22034/jfmt.2024.458069.1013
VANCOUVER
Azin H, Iloon Kashkooly A. Multi step scheme for the approximation of the fractional Riccati differential equation. JFMT. 2024;1(2):60-72. doi: 10.22034/jfmt.2024.458069.1013
