Analysis of a compact multi-step ADI method for linear parabolic equation

This manuscript introduces new synchronization methods, viz., modified fractional and inverse matrices hybrid function projective difference synchronization based on active control method. The main advantage of this method lies in its comprising of different synchronization schemes applicable componentwise, thereby strengthening the anti-attack capability in secure communications. Numerical simulations have been performed on complex fractional Rikitake system, El-Nino system, and generalized Lotka Volterra systems which verify the efficacy of the designed scheme by achieving quicker synchronization. Comparison of results with some previous published results have been made and application of synchronized methods in secure communication is made.

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Secure Communication Using Modified Fractional and Inverse Matrices Synchronization Methods

Khan

Trikha

Khan

2021

SN COMPUT. SCI.

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Stability and convergence of BDF2-ADI schemes with variable step sizes for parabolic equation

Zhao,

Zhang,

2024

Applied Numerical Mathematics

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Pointwise error estimate of an alternating direction implicit difference scheme for two-dimensional time-fractional diffusion equation

Chen

2021

Computers & Mathematics with Applications

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Analysis of a compact multi-step ADI method for linear parabolic equation

Cited by 4 publications

References 29 publications

Secure Communication Using Modified Fractional and Inverse Matrices Synchronization Methods

Secure Communication Using Modified Fractional and Inverse Matrices Synchronization Methods

Stability and convergence of BDF2-ADI schemes with variable step sizes for parabolic equation

Pointwise error estimate of an alternating direction implicit difference scheme for two-dimensional time-fractional diffusion equation

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