The Stability of Solutions for the Generalized Degasperis-Procesi Equation with Variable Coefficients

Chen, Jing

doi:10.1155/2015/207427

Mathematical Problems in Engineering

2015

DOI: 10.1155/2015/207427

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The Stability of Solutions for the Generalized Degasperis-Procesi Equation with Variable Coefficients

Jing Chen

Abstract: A generalized Degasperis-Procesi equation with variable coefficients is investigated. TheL1(R)stability of the strong solution for the equation is established under certain assumptions.

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2023

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Approximate Solutions for Time-Fractional Fornberg–Whitham Equation with Variable Coefficients

2023

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In this research, three numerical methods, namely the variational iteration method, the Adomian decomposition method, and the homotopy analysis method are considered to achieve an approximate solution for a third-order time-fractional partial differential Equation (TFPDE). The equation is obtained from the classical (FW) equation by replacing the integer-order time derivative with the Caputo fractional derivative of order η=(0,1] with variable coefficients. We consider homogeneous boundary conditions to find the approximate solutions for the bounded space variable l<χ<L and l,L∈R. To confirm the effectiveness of the proposed methods of non-integer order η, the computation of two test problems was presented. A comparison is made between the obtained results of the (VIM), (ADM), and (HAM) through tables and graphs. The numerical results demonstrate the effectiveness of the three numerical methods.

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Approximate Solutions for Time-Fractional Fornberg–Whitham Equation with Variable Coefficients

2023

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The Stability of Solutions for the Generalized Degasperis-Procesi Equation with Variable Coefficients

Abstract: A generalized Degasperis-Procesi equation with variable coefficients is investigated. TheL1(R)stability of the strong solution for the equation is established under certain assumptions.

Cited by 1 publication

References 10 publications

Approximate Solutions for Time-Fractional Fornberg–Whitham Equation with Variable Coefficients

Approximate Solutions for Time-Fractional Fornberg–Whitham Equation with Variable Coefficients

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