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
