Reproducing kernel method for fractional Riccati differential equations

DOI10.1155/2014/970967zbMath1474.65213OpenAlexW1974077123WikidataQ59043215 ScholiaQ59043215MaRDI QIDQ1725414

Xianqiang Yang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/970967

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)

Related Items (10)

Numerical approximation of Riccati fractional differential equation in the sense of Caputo-type fractional derivative ⋮ On solutions of fractional Riccati differential equations ⋮ Solving fractal-fractional differential equations using operational matrix of derivatives via Hilfer fractal-fractional derivative sense ⋮ New approach for the Fornberg-Whitham type equations ⋮ A novel numerical scheme for fractional differential equations using extreme learning machine ⋮ A novel method to approximate fractional differential equations based on the theory of functional connections ⋮ Solving a class of singularly perturbed partial differential equation by using the perturbation method and reproducing kernel method ⋮ Using an effective numerical method for solving a class of Lane-Emden equations ⋮ Fractional-order Boubaker wavelets method for solving fractional Riccati differential equations ⋮ A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains

Cites Work

• Unnamed Item
• Numerical solutions of fractional Riccati type differential equations by means of the Bernstein polynomials
• Numerical treatment for solving fractional Riccati differential equation
• Solving the generalized regularized long wave equation on the basis of a reproducing kernel space
• Numerical solution of Riccati equation using the cubic B-spline scaling functions and Chebyshev cardinal functions
• A comparative study of numerical methods for solving quadratic Riccati differential equations
• Solving a nonlinear fractional differential equation using Chebyshev wavelets
• Decomposition method for solving fractional Riccati differential equations
• Solving a nonlinear system of second order boundary value problems
• An effective variational iteration algorithm for solving Riccati differential equations
• A piecewise variational iteration method for Riccati differential equations
• A new method for determining the solution of Riccati differential equations
• A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials
• Local fractional variational iteration and decomposition methods for wave equation on Cantor sets within local fractional operators
• Solving Riccati differential equation using Adomian's decomposition method
• Application of reproducing kernel method for solving nonlinear Fredholm-Volterra integrodifferential equations
• Inverse heat problem of determining time-dependent source parameter in reproducing kernel space
• Numerical solution of eighth-order boundary value problems in reproducing Kernel space
• A novel method for solving KdV equation based on reproducing kernel Hilbert space method
• Reproducing kernel method for singularly perturbed turning point problems having twin boundary layers
• Using an enhanced homotopy perturbation method in fractional differential equations via deforming the linear part
• A numerical algorithm for nonlinear multi-point boundary value problems
• Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
• Riccati differential equations

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