Numerical solution of fractional sine-Gordon equation using spectral method and homogenization
DOI10.1515/ijnsns-2018-0339OpenAlexW2989543144WikidataQ126777881 ScholiaQ126777881MaRDI QIDQ2296140
Mahmoud Behroozifar, Maryam Hasanpour, Nazanin Tafakhori
Publication date: 17 February 2020
Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ijnsns-2018-0339
homogenizationnumerical stabilityspectral methodJacobi polynomialfractional sine-Gordon differential equation
Fractional derivatives and integrals (26A33) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Fractional partial differential equations (35R11) Interpolation and approximation (educational aspects) (97N50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On shifted Jacobi spectral method for high-order multi-point boundary value problems
- Spectral methods using Legendre wavelets for nonlinear Klein/sine-Gordon equations
- Tension spline solution of nonlinear sine-Gordon equation
- A new Jacobi operational matrix: an application for solving fractional differential equations
- Numerical solution of sine-Gordon equation by variational iteration method
- A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions
- Exact solutions to sine-Gordon-type equations
- Partial differential equations and solitary waves theory
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A numerical solution of the sine-Gordon equation using the modified decomposition method
- An implicit RBF meshless approach for solving the time fractional nonlinear sine-Gordon and Klein-Gordon equations
- An approximate solution based on Jacobi polynomials for time-fractional convection-diffusion equation
- Numerical solutions of a damped sine-Gordon equation in two space variables
- Fully discrete spectral methods for solving time fractional nonlinear sine-Gordon equation with smooth and non-smooth solutions
- Analytical approaches to the study of the sine-Gordon equation and pseudospherical surfaces
- The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations
- Numerical Solution to the Sine-Gordon Equation Defined on the Whole Real Axis
- New modification of the HPM for numerical solutions of the sine-Gordon and coupled sine-Gordon equations
- Numerical solution of non-linear Klein–Gordon equations by variational iteration method
- A numerical solution for fractional optimal control problems via Bernoulli polynomials
This page was built for publication: Numerical solution of fractional sine-Gordon equation using spectral method and homogenization