A cardinal method to solve coupled nonlinear variable-order time fractional sine-Gordon equations
From MaRDI portal
Publication:2301002
DOI10.1007/s40314-019-0936-zzbMath1449.35437OpenAlexW2985382023WikidataQ126785404 ScholiaQ126785404MaRDI QIDQ2301002
Mohammad Hossein Heydari, Yin Yang, Zakieh Avazzadeh, Carlo Cattani
Publication date: 28 February 2020
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-019-0936-z
collocation methodChebyshev cardinal functions (CCFs)operational matrix (OM)coupled nonlinear variable-order time-fractional sine-Gordon equationsshifted second-kind CCFs
Fractional derivatives and integrals (26A33) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Other special orthogonal polynomials and functions (33C47) Fractional partial differential equations (35R11)
Related Items
An accurate approach based on the orthonormal shifted discrete Legendre polynomials for variable-order fractional Sobolev equation, Numerical solution of variable order fractional nonlinear quadratic integro-differential equations based on the sixth-kind Chebyshev collocation method, A numerical scheme based on the Chebyshev functions to find approximate solutions of the coupled nonlinear sine-Gordon equations with fractional variable orders, Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations, A robust computational framework for analyzing fractional dynamical systems, Vieta-Lucas polynomials for the coupled nonlinear variable-order fractional Ginzburg-Landau equations, Finite-time attractivity of solutions for a class of fractional differential inclusions with finite delay, A new class of orthonormal basis functions: application for fractional optimal control problems
Cites Work
- Unnamed Item
- An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations
- Numerical algorithm for the variable-order Caputo fractional functional differential equation
- Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations
- Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Two-dimensional Legendre wavelets for solving variable-order fractional nonlinear advection-diffusion equation with variable coefficients
- The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations
- A new direct method based on the Chebyshev cardinal functions for variable-order fractional optimal control problems
- Legendre wavelets optimization method for variable-order fractional Poisson equation
- An integro quadratic spline approach for a class of variable-order fractional initial value problems
- A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation
- An optimization method based on the generalized polynomials for nonlinear variable-order time fractional diffusion-wave equation
- A space-time spectral approximation for solving nonlinear variable-order fractional sine and Klein-Gordon differential equations
- Numerical solution of two-dimensional variable-order fractional optimal control problem by generalized polynomial basis
- Optimal variable-order fractional PID controllers for dynamical systems
- Statistical physics of dynamical systems with variable memory
- Weak solutions to a nonlinear variational sine-Gordon equation
- A meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equation
- An operational matrix method for solving variable-order fractional biharmonic equation
- A numerical approach for solving a class of variable-order fractional functional integral equations
- A computationally efficient method for tempered fractional differential equations with application
- A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation
- A computational method for solving variable-order fractional nonlinear diffusion-wave equation
- Extended algorithms for approximating variable order fractional derivatives with applications
- Generalized shifted Chebyshev polynomials for fractional optimal control problems
- Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods
- Mechanics with variable-order differential operators
- An Optimization Wavelet Method for Multi Variable-order Fractional Differential Equations
- SM-Algorithms for Approximating the Variable-Order Fractional Derivative of High Order
- A new Wavelet Method for Variable‐Order Fractional Optimal Control Problems
- A variable order constitutive relation for viscoelasticity
- An efficient finite difference/Hermite-Galerkin spectral method for time-fractional coupled sine-Gordon equations on multidimensional unbounded domains and its application in numerical simulations of vector solitons
