Wavelet operational matrix method for solving the Riccati differential equation
From MaRDI portal
Publication:2299662
DOI10.1016/j.cnsns.2013.05.022zbMath1470.65144OpenAlexW2022318891WikidataQ115358666 ScholiaQ115358666MaRDI QIDQ2299662
Ning Sun, Qi Wang, Yuanlu Li, Bo-Chao Zheng, Yingchao Zhang
Publication date: 24 February 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2013.05.022
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 (14)
Analytical approximate solutions for quadratic Riccati differential equation of fractional order using the polynomial least squares method ⋮ Approximate solutions for the fractional order quadratic Riccati and Bagley-Torvik differential equations ⋮ A Mellin transform approach to wavelet analysis ⋮ Numerical algorithm to solve system of nonlinear fractional differential equations based on wavelets method and the error analysis ⋮ Solving hybrid fuzzy differential equations by Chebyshev wavelet ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fractional-order Legendre operational matrix of fractional integration for solving the Riccati equation with fractional order ⋮ Analytical solutions for a nonlinear diffusion equation with convection and reaction ⋮ Numerical solution of time-fractional diffusion-wave equations via Chebyshev wavelets collocation method ⋮ An algorithm for the approximate solution of the fractional Riccati differential equation ⋮ Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations ⋮ A piecewise spectral-collocation method for solving fractional Riccati differential equation in large domains ⋮ A coiflets-based wavelet Laplace method for solving the Riccati differential equations
Cites Work
- Unnamed Item
- Series solutions of non-linear Riccati differential equations with fractional order
- A comparative study of numerical methods for solving quadratic Riccati differential equations
- On Legendre polynomial approximation with the VIM or HAM for numerical treatment of nonlinear fractional differential equations
- The Legendre wavelet method for solving fractional differential equations
- An efficient approach for solving the Riccati equation with fractional orders
- Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials
- Predictor homotopy analysis method and its application to some nonlinear problems
- Decomposition method for solving fractional Riccati differential equations
- Analytical approximate solution of nonlinear dynamic system containing fractional derivative by modified decomposition method
- Kronecker operational matrices for fractional calculus and some applications
- Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions
- A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations
- A piecewise variational iteration method for Riccati differential equations
- Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
- Solution of nonlinear fractional differential equations using homotopy analysis method
- A new application of He's variational iteration method for quadratic Riccati differential equation by using Adomian's polynomials
- Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
- An application of single-term Haar wavelet series in the solution of nonlinear oscillator equations
- Haar wavelet method for solving Fisher's equation
- Identification of time-varying linear and bilinear systems via Fourier series
- Identification of nonlinear differential equations via Fourier series operational matrix for repeated integration
- Analytical approximate solutions for nonlinear fractional differential equations
- Solving Riccati differential equation using Adomian's decomposition method
- Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method
- Iterated He's homotopy perturbation method for quadratic Riccati differential equation
- Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials
- Numerical solution of time-varying functional differential equations via Haar wavelets
- Using an enhanced homotopy perturbation method in fractional differential equations via deforming the linear part
- Galerkin projections and finite elements for fractional order derivatives
- Homotopy analysis method for quadratic Riccati differential equation
- Numerical solution of integral equations system of the second kind by block-pulse functions
- Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
- An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
- Toward a new analytical method for solving nonlinear fractional differential equations
- Analysis and optimal control of time-varying linear systems via shifted Legendre polynomials
- Averages of best wavelet basis estimates for denoising
This page was built for publication: Wavelet operational matrix method for solving the Riccati differential equation