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We describe a boundary perturbation method for this problem which avoids not only the need for specialized quadrature rules but also the dense linear systems characteristic of boundary integral/element methods.
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A boundary perturbation method is developed to determine the fundamental frequency of vibrating plates.
A boundary perturbation method is developed to extract the fundamental eigenvalue of the governing biharmonic boundary value problem.
In this paper, we implement the homotopy perturbation method for solving the linear and nonlinear two-point boundary value problems.
The analytical method consists of the Laplace transformation and the perturbation method for arbitrary grading patterns.
Odibat and Momani [3] investigated a modified homotopy perturbation method for fractional Riccati differential equations.
Perturbation methods for both regular and singular solutions are developed.
A functional perturbation method (FPM), for solving boundary value problems of linear materials with non-homogeneous properties is introduced.
In this section, we describe the homotopy perturbation method [10 16] for a general type of the nonlinear differential equation with boundary conditions A ( u ) − f ( r ) = 0, r ∈ Ω, (1).
In 2014, they also presented a numerical algorithm for the time fractional B-S equation with boundary condition by homotopy perturbation method and homotopy analysis method [20].
The perturbation method is used for solving the problem.
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