A novel attempt for finding comparatively accurate solution for sine‐Gordon equation comprising Riesz space fractional derivative

DOI10.1002/mma.3736zbMath1416.65379OpenAlexW1782252583MaRDI QIDQ5741655

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Publication date: 29 July 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3736

zbMATH Keywords

sine-Gordon equationRiesz fractional derivativeChebyshev wavelet method

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71)

Related Items

On the solution of a Riesz space-fractional nonlinear wave equation through an efficient and energy-invariant scheme ⋮ A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach

Cites Work

• Unnamed Item
• Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet
• A two-dimensional Haar wavelet approach for the numerical simulations of time and space fractional Fokker-Planck equations in modelling of anomalous diffusion systems
• Numerical solution of sine-Gordon equation by variational iteration method
• A numerical solution of the sine-Gordon equation using the modified decomposition method
• On the numerical solution of the sine-Gordon equation. I: Integrable discretizations and homoclinic manifolds
• On the solutions of fractional Burgers-Fisher and generalized Fisher's equations using two reliable methods
• Homotopy analysis method for the sine-Gordon equation with initial conditions
• The tanh method: exact solutions of the sine-Gordon and the sinh-Gordon equations
• The comparison of two reliable methods for accurate solution of time-fractional Kaup-Kupershmidt equation arising in capillary gravity waves
• Nonlinear Partial Differential Equations for Scientists and Engineers
• NUMERICAL HOMOCLINIC INSTABILITIES IN The SINE-GORDON EQUATION

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