New ultraspherical wavelets spectral solutions for fractional Riccati differential equations

DOI10.1155/2014/626275zbMath1474.65246OpenAlexW2136976048WikidataQ59040135 ScholiaQ59040135MaRDI QIDQ1724576

Youssri H. Youssri, Waleed M. Abd-Elhameed

Publication date: 14 February 2019

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

Full work available at URL: https://doi.org/10.1155/2014/626275

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Fractional ordinary differential equations (34A08)

Related Items (18)

Shifted Gegenbauer-Gauss Collocation Method for Solving Fractional Neutral Functional-Differential Equations with Proportional Delays ⋮ Investigation of fractional models of damping material by a neuroevolutionary approach ⋮ Numerical approximation of Riccati fractional differential equation in the sense of Caputo-type fractional derivative ⋮ A new exponential Jacobi pseudospectral method for solving high-order ordinary differential equations ⋮ Sine-cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations ⋮ A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation-oscillation equations of fractional order ⋮ An application of the Gegenbauer wavelet method for the numerical solution of the fractional Bagley-Torvik equation ⋮ Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system ⋮ Comparative work for the source identification in parabolic inverse problem based on Taylor and Chebyshev wavelet methods ⋮ Chebyshev wavelet method for numerical solutions of integro-differential form of Lane–Emden type differential equations ⋮ Theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear Lane-Emden type equations ⋮ Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations ⋮ Numerical integration method for triple integrals using the second kind Chebyshev wavelets and Gauss-Legendre quadrature ⋮ Shifted fractional-order Jacobi orthogonal functions: application to a system of fractional differential equations ⋮ Nonuniform biorthogonal wavelets on positive half line via Walsh Fourier transform ⋮ Bernstein and Gegenbauer-wavelet collocation methods for Bratu-like equations arising in electrospinning process ⋮ Solution of fractional oscillator equations using ultraspherical wavelets ⋮ A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains

Cites Work

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• On the optimization of Gegenbauer operational matrix of integration
• Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet
• The second kind Chebyshev wavelet method for solving fractional differential equations
• Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices
• Accurate spectral solutions for the parabolic and elliptic partial differential equations by the ultraspherical tau method
• A quadrature tau method for fractional differential equations with variable coefficients
• Adomian decomposition: a tool for solving a system of fractional differential equations
• Solving a system of nonlinear fractional partial differential equations using homotopy analysis method
• Solving a nonlinear fractional differential equation using Chebyshev wavelets
• A collocation-shooting method for solving fractional boundary value problems
• Legendre wavelets method for solving differential equations of Lane-Emden type
• The solution of the Bagley-Torvik equation with the generalized Taylor collocation method
• Analytical solution of a fractional diffusion equation by variational iteration method
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional-order Riccati differential equation: analytical approximation and numerical results
• On the Bernstein-type inequalities for ultraspherical polynomials
• New wavelets collocation method for solving second-order multipoint boundary value problems using Chebyshev polynomials of third and fourth kinds
• Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials
• Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration
• A note on an identity of the gamma function and Stirling's formula
• New algorithms for solving high even-order differential equations using third and fourth Chebyshev-Galerkin methods
• On shifted Jacobi spectral approximations for solving fractional differential equations
• Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
• Riccati differential equations
• Finite difference approximations for two-sided space-fractional partial differential equations
• A computational method for solving optimal control of a system of parallel beams using Legendre wavelets
• Efficient spectral-Petrov-Galerkin methods for third- and fifth-order differential equations using general parameters generalized Jacobi polynomials
• Inexact Newton Methods
• Efficient Spectral-Galerkin Algorithms for Direct Solution of Second-Order Equations Using Ultraspherical Polynomials

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