• No results found

A conservative difference scheme for the Riesz space fractional sine Gordon equation

N/A
N/A
Protected

Academic year: 2020

Share "A conservative difference scheme for the Riesz space fractional sine Gordon equation"

Copied!
22
0
0

Loading.... (view fulltext now)

Full text

Loading

Figure

Table 1 The convergence order in spatial direction with α = 1.75,1.95,τ = 1/256 at time t = 1
Figure 1 The numerical solution of the initial boundary value problem in Example 1 with α = 1.75,h = 1/16,τ = 1/200 and corresponding solution for u(x,t) when t = 0.4
Figure 2 Approximate solution of the initial boundary value problem in Example 1 with various orders αwith h = 1/10 and τ = 1/20
Table 3 εn at t = tn for different values of α with h = 110,τ = 120
+2

References

Related documents

A fourth order linearized difference scheme for the coupled space fractional Ginzburg?Landau equation Xu et al Advances in Difference Equations (2019) 2019 455 https //doi

A Galerkin FEM for Riesz space fractional CNLS Zhu et al Advances in Difference Equations (2019) 2019 329 https //doi org/10 1186/s13662 019 2278 y R E S E A R C H Open Access A

Existence of periodic solutions for a higher order neutral difference equation Zhang and Wang Advances in Difference Equations (2018) 2018 449 https //doi org/10 1186/s13662 018 1890 6 R

Conservative Fourier spectral scheme for the coupled Schr?dinger?Boussinesq equations Wang Advances in Difference Equations (2018) 2018 405 https //doi org/10 1186/s13662 018 1784 7 R E S

An alternating segment Crank?Nicolson parallel difference scheme for the time fractional sub diffusion equation Wu et al Advances in Difference Equations (2018) 2018 287 https //doi

Nonlocal symmetries of Frobenius sinh Gordon systems Zhou et al Advances in Difference Equations (2018) 2018 271 https //doi org/10 1186/s13662 018 1737 1 R E S E A R C H Open Access

A new approach for one dimensional sine Gordon equation Akg?l et al Advances in Difference Equations (2016) 2016 8 DOI 10 1186/s13662 015 0734 x R E S E A R C H Open Access A new

Therefore, in this work, we extend the approaches in [22-25] to the 2D generalized nonlinear Sine-Gordon equation, employing the POD technique to build a