Results 31 to 40 of about 476 (175)
Photonics, 2023 This article studies highly dispersive optical solitons without of self-phase modulation effect. The numerical algorithm implemented in this work is Laplace-Adomian decomposition method. Both bright and dark solitons are addressed.
Oswaldo González-Gaxiola +3 more
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A note on Laplace Adomian decomposition method on a linear problem
Hilbert Journal of Mathematical AnalysisIn last two decades, Laplace Adomian Decomposition Method (LADM) is vastly used to solve non-linear (or even fractional order) differential equations. The method approaches the solution with the partial sums of function series. However, it is not easy to show that the limit of the function series is the exact solution of the problem.
Manzo Senjaya Budiman, Daniel Salim
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Solution of the Nonlinear Schrödinger Equation with Defocusing Strength Nonlinearities Through the Laplace–Adomian Decomposition Method [PDF]
International Journal of Applied and Computational Mathematics, 2017 In this work we apply the Adomian decomposition method combined with the Laplace transform (LADM) in order to solve the 1-dimensional nonlinear Schrodinger equation whose nonlinear term presents a nonlinear defocusing strength that varies in the spatial direction.
González-Gaxiola, O. +2 more
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An efficient approach for the numerical solution of fifth-order KdV equations
Open Mathematics, 2020 The main aim of this article is to use a new and simple algorithm namely the modified variational iteration algorithm-II (MVIA-II) to obtain numerical solutions of different types of fifth-order Korteweg-de Vries (KdV) equations.
Ahmad Hijaz +2 more
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Solution of the Bethe Equation Through the Laplace-Adomian Decomposition Method
, 2017 The Bethe equation is a nonlinear differential equation that plays an important role in nuclear physics and a variety of applications related to it, such as the description of the behavior of an energetic particle when it penetrates into matter. Despite its importance, its unusual to find the exact solution to this nonlinear equation in literature and ...
González-Gaxiola, O. +2 more
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MATEC Web of Conferences, 2016 Numerical Laplace transform method is applied to approximate the solution of nonlinear (quadratic) Riccati differential equations mingled with Adomian decomposition method. A new technique is proposed in this work by reintroducing the unknown function in
Mishra Vinod, Rani Dimple
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Ain Shams Engineering Journal, 2018 SEIR epidemic model which represents the direct transmission of infectious disease are considered to control the measles disease for infected population.
Muhammad Farman +3 more
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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Using a hybrid technique for the analytical solution of a coupled system of two-dimensional BurgerŠs equations [PDF]
Results in Nonlinear Analysis, 2018 Our aim in this paper is to investigate the analytical solutions of two dimensional non- linear system of Burger’s equations. We present two problems for the efficiency of the proposed hybrid techniques form by coupling Laplace transform with Adomian ...
Atta Ullah, Kamal Shah
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Fractal and Fractional, 2022 In this work, the exact and approximate solution for generalized linear, nonlinear, and coupled systems of fractional singular M-dimensional pseudo-hyperbolic equations are examined by using the multi-dimensional Laplace Adomian decomposition method (M ...
Hassan Eltayeb +2 more
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