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Numerical solution of large deflection beams by using the Laplace Adomian decomposition method
Engineering Computations, 2021PurposeThis paper presents the problems using Laplace Adomian decomposition method (LADM) for investigating the deformation and nonlinear behavior of the large deflection problems on Euler-Bernoulli beam.Design/methodology/approachThe governing equations will be converted to characteristic equations based on the LADM.
Ming-Xian Lin +2 more
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Free vibration analysis of non-uniform Bernoulli beam by using Laplace Adomian decomposition method
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2022This paper discusses an investigation into the influence of the cone ratio and axial force on the vibration problem in a non-uniform cantilever Euler–Bernoulli beam. In the analysis, the governing equation for the non-uniform cantilever Euler–Bernoulli beam is solved using the Laplace Adomian decomposition method (LADM).
Ming-Xian Lin +2 more
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Free vibration of the nonlinear pendulum using hybrid Laplace Adomian decomposition method
International Journal for Numerical Methods in Biomedical Engineering, 2011Summary: The pendulum system is definitely nonlinear in the real world of physics and has been considered a fundamental subject to the nonlinear oscillators. In this paper, a hybrid method of the Laplace Adomian decomposition method combined with Padé approximant, named the LADM-Padé approximant technique is proposed to solve the nonlinear undamped and
Tsai, Pa-Yee, Chen, Cha'o-Kuang
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Advances in Mathematics: Scientific Journal, 2023
In this paper, we apply two techniques Laplace Decomposition Method (LADM) and Laplace Variational Iteration Method (LVIM) to determine the analytical solution of Boussinesq Equation.
J.B. Yindoula, G.D. Nganga
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In this paper, we apply two techniques Laplace Decomposition Method (LADM) and Laplace Variational Iteration Method (LVIM) to determine the analytical solution of Boussinesq Equation.
J.B. Yindoula, G.D. Nganga
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AIP Conference Proceedings, 2017
In this paper, Laplace Adomian decomposition method (LADM) was applied to solve Delay differential equations with Boundary Value Problems. The solution is in the form of a convergent series which is easy to compute. This approach is tested on two test problem. The findings obtained exhibit the reliability and efficiency of the proposed method.
Hamood Mohammed Yousef +1 more
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In this paper, Laplace Adomian decomposition method (LADM) was applied to solve Delay differential equations with Boundary Value Problems. The solution is in the form of a convergent series which is easy to compute. This approach is tested on two test problem. The findings obtained exhibit the reliability and efficiency of the proposed method.
Hamood Mohammed Yousef +1 more
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Laplace Adomian Decomposition Method for Fractional Order SIS Epidemic Model
AlQalam Journal of Medical and Applied SciencesThis research manuscript addresses finding a solution to the SIS Epidemic model using the Caputo derivative. To achieve the required results, Laplace transform together with the Adomian Decomposition Method (LADM) were utilized. This method is a powerful tool for dealing with various linear and nonlinear problems of fractional-order differential ...
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A Laplace Adomian Decomposition Method for Fractional Order Infection Model
Journal of Applied Mathematics and Computation, 2023openaire +1 more source
New Modification of Laplace–Adomian Decomposition Method for the Fifth-Order KdV Equation
2014In this paper, for obtaining accurate solutions of the fifth-order KdV equation with initial condition, a new modification of Laplace–Adomian decomposition method is proposed. To see the accuracy of the proposed method, L 2 and \(L_{\infty}\) error norms are calculated in test problems.
H. O. Bakodah, B. S. Kashkari
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Fractional diffusion equation with double and triple Laplace Adomian decomposition methods
MSA Engineering Journal, 2023Aisha Fareed +2 more
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The method of Φ-Laplace Adomian decomposition for Φ-Caputo fractional Bloch equations
Physica ScriptaAbstract This article studies the Bloch equations (BEs), which form a system of macroscopic equations used for the simulation of nuclear magnetization as a function of time, when the relaxation times T 1 and T 2 are given.
M Shahrezaee, M Arabameri, A Ahmadian
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