An Efficient Meshfree Numerical Technique to Solve Fractional Schamel–KdV Equation for Ion-Acoustic Solitary Waves in Dusty Plasma

Sagar, B.; Ray, S. Saha

doi:10.1109/tps.2023.3283039

IEEE Trans. Plasma Sci.

2023

DOI: 10.1109/tps.2023.3283039

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An Efficient Meshfree Numerical Technique to Solve Fractional Schamel–KdV Equation for Ion-Acoustic Solitary Waves in Dusty Plasma

B. Sagar

S. Saha Ray

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Cited by 2 publications

References 26 publications

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Fully decoupled, linear, and energy-preserving GSAV difference schemes for the nonlocal coupled sine-Gordon equations in multiple dimensions

Hu,

Kong,

Cai

et al. 2023

Numer Algor

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In this paper, we intend to utilize the generalized scalar auxiliary variable (GSAV) approach proposed in recent paper [SIAM J. Numer. Anal., 60 (2022), 1905-1931 for the nonlocal coupled sine-Gordon equation to construct a class of fully decoupled, linear and second-order accurate energy-preserving scheme. The unconditional unique solvability and discrete energy conservation law of the proposed scheme are rigorously discussed, and the unconditional convergence is then proved by the mathematical induction. Particularly, the convergence analysis covers the proposed scheme in multiple dimensions due to the corresponding nonlinear terms satisfy the global Lipschitz continuity straightforwardly. Finally, time evolution of dynamical behaviour of the governing equation with different nonlocal parameters are observed, and ample numerical comparisons demonstrate that the proposed scheme enjoys the high efficiency in long-time computations.

show abstract

Fully decoupled, linear, and energy-preserving GSAV difference schemes for the nonlocal coupled sine-Gordon equations in multiple dimensions

Hu,

Kong,

Cai

et al. 2023

Numer Algor

View full text Add to dashboard Cite

show abstract

Numerical simulation of coupled Klein–Gordon–Schrödinger equations: RBF partition of unity

Azarnavid,

Fardi,

Mohammadi

2024

Engineering Analysis with Boundary Elements

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An Efficient Meshfree Numerical Technique to Solve Fractional Schamel–KdV Equation for Ion-Acoustic Solitary Waves in Dusty Plasma

Cited by 2 publications

References 26 publications

Fully decoupled, linear, and energy-preserving GSAV difference schemes for the nonlocal coupled sine-Gordon equations in multiple dimensions

Fully decoupled, linear, and energy-preserving GSAV difference schemes for the nonlocal coupled sine-Gordon equations in multiple dimensions

Numerical simulation of coupled Klein–Gordon–Schrödinger equations: RBF partition of unity

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