The Laplace Decomposition Method
Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation
... paper, Laplace decomposition method (LDM) and Pade approximant are employed to find approximate solutions for the Whitham-Broer-Kaup shallow water model, the coupled nonlinear reaction diffusion ...
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Modified Laplace Decomposition Method for Singular IVPs in the second-Order Ordinary Differential Equations
... The aim of this paper is to introduce a new reliable modification of Laplace decomposition method (MLDM) [17-21] . For convenience, we consider the general form of the second order non homogeneous ...
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Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time Space Fractional Nonlinear Fractional Differential Equations
... of Laplace Decomposition Me- thod with Adomian Decomposition in time-space Fractional Nonlinear Frac- tional Differential ...from Laplace Decomposition Method and Adomian ...
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Solutions of Second Order Nonlinear Singular Initial Value Problems by Modified Laplace Decomposition Method
... Adomian decomposition, homotopy perturbation, Variational iteration, Differential transform [4]-[12] and so ...on. Laplace Adomian Decomposition Method (LADM) proposed in [13] and [14] is ...
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Numerical Solutions of the Regularized Long Wave (RLW) Equation Using New Modification of Laplace Decomposition Method
... The results are given in Table 3 and the error norms for (c = 0.05) are recorded in Table 4 for different value of m. Also in Figure 3 we show the exact solution and nu- merical solution with new modification of ...
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Solution of singular one dimensional Boussinesq equation by using double conformable Laplace decomposition method
... double Laplace trans- form and decomposition methods to solve the singular linear and nonlinear Boussinesq ...new method, developed in the current work, was tested on two ...
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Determining the Kinematic Properties of an Advancing Front Using a Decomposition Method
... powerful method utilizing the Laplace decomposition method (LDM) that calculates the initial velocity and acceleration of this leading edge in terms of the original model parameters and ...
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Modification of Laplace Adomian Decomposition Method for Solving Nonlinear Volterra Integral and Integro-differential Equations based on Newton Raphson Formula
... interpolation method for Volterra integral equations ...between Laplace decomposition method, homotopy perturbation method and wavelet-Galerkin method for solving nonlinear ...
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Homotopy Analysis Sumudu Transform Method for Nonlinear Equations
... analysis method (HAM) [6,7,12,23,25,26,27,28,29,33], vari- ational iteration method (VIM) [6,7,15,16,17,19], Laplace decomposition method (LDM) [20,24,37,41], homotopy perturbation ...
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A Comparative Study of Variational Iteration Method and He Laplace Method
... -expansion method [4] and Hirota bilinear method ...Adomian decomposition method (ADM) [7], He’s Semi- inverse method [8], the tanh method, homotopy perturba- tion ...
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EXISTENCE AND UNIQUENESS THEOREMS FOR FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
... analysis method for fractional SEIR epidemic model, Zurigat et ...the Laplace decomposition method to solve the fractional integro-differential equations, Mittal and Nigam [17] applied the ...
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On the Solutions of First and Second Order Nonlinear Initial Value Problems
... inverse Laplace transforms of some functions in main results of ...new method needs no transformation or linearization or Lagrange multiplier, and it shows some formulas for solving the first order IVP ...
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Optical soliton perturbation of Fokas-Lenells equation by the Laplace-Adomian decomposition algorithm
... This paper successfully studied FLE in polarization- preserving fibers by the aid of Laplace-Adomian decom- position scheme. The numerical scheme yielded bright and dark soliton solutions. The results thus appear ...
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On the Laplace transform decomposition algorithm for solving nonlinear differential equations
... (ADM) and the Laplae transform deomposition algorithm (LTDA) for solving nonlinear.. dierential equations.[r] ...
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Application of Laplace Transform For Cryptographic Scheme
... ON LAPLACE TRANSFORMS: Laplace transform has many applications in vari- ous fields [6],[8],[12],[14] such as Mechanics, Electrical circuit, Beam problems, Heat con- duction, Wave equation, Transmission ...
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Laplace Substitution – Variational Iteration Method for Solving Goursat Problems Involving Mixed Partial Derivatives
... Two examples are selected to evaluate the proposed method. These examples are used by previous authors to evaluate and explain their solutions [1, 6-10, 14], for that reason the same trend was followed in this ...
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A study on Degasperis - Procesi equation by iterative methods
... I t namic problems in physics and other fields has been shown that many important dy- are usually characterized by nonlinear evolution equations which are often called governing equa- tions [3, 42, 36, 27]. To understand ...
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Numerical Solution of Sawada-Kotera equation by using Iterative Methods
... Adomian’s decomposition method, modified Adomian’s decomposition method, variational iteration method, mod- ified variational iteration method, homotopy perturbation method, ...
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A comparison of numerical methods for solving the bratu and bratu type problems
... Keywords: Bratu problem, Bratu-Type problems, standard Adomian decomposition method, modified Adomian decomposition method, shooting method, finite difference method.... rvIasalah Jenis-[r] ...
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Vol 3, No 3 (2012)
... new method of cryptography, in which we used Laplace transform for encrypting the plain text and corresponding inverse Laplace transform for ...of Laplace transforms in section 2, we obtained ...
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