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[PDF] Top 20 On the Laplace transform decomposition algorithm for solving nonlinear differential equations

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On the Laplace transform decomposition algorithm for solving nonlinear differential equations

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] ... See full document

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Vol 9, No 1 (2018)

Vol 9, No 1 (2018)

... "differential equations" was was proposed in 1676 by ...these equations were carried out in the late 17th century in the context of certain problems in mechanics and ...partial ... See full document

6

Solving nth Order Integro Differential Equations Using the Combined Laplace Transform Adomian Decomposition Method

Solving nth Order Integro Differential Equations Using the Combined Laplace Transform Adomian Decomposition Method

... [12] S. Guellal and Y. Cherruault, “Practical Formula for Cal- culation of Adomian’s Polynomials and Application to the Convergence of the Decomposition Method,” Interna- tional Journal Bio-Medical Computing, Vol. ... See full document

5

Solutions of Second Order Nonlinear Singular Initial Value Problems by Modified Laplace Decomposition Method

Solutions of Second Order Nonlinear Singular Initial Value Problems by Modified Laplace Decomposition Method

... the Laplace Decomposition Method (LDM) for solving non linear singular second order initial value ...the nonlinear singular initial value ...using nonlinear Lane- Emden type ... See full document

7

New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations

New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations

... solved nonlinear problems or many complex mathematical ...for solving many real-life ...the Laplace transform and decomposition ...integral transform was successfully applied to ... See full document

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Solving high order nonlinear Volterra Fredholm integro differential equations by differential transform method

Solving high order nonlinear Volterra Fredholm integro differential equations by differential transform method

... integro-differential equations play an im- portant role in characterizing many social, biological, physical and engineering problems; for more details see [1-3] and references cited ...therein. ... See full document

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A Comparative Study of Adomain Decompostion Method and He Laplace Method

A Comparative Study of Adomain Decompostion Method and He Laplace Method

... Adomain decomposition method for solving nonlinear ordinary and partial differential equations, the same problems are solved by He-Laplace ...Adomain decomposition method ... See full document

13

Laplace Homotopy Perturbation Method of Solving Nonlinear Partial Differential Equations

Laplace Homotopy Perturbation Method of Solving Nonlinear Partial Differential Equations

... some nonlinear partial differential ...the Laplace transform method and the homotopy perturbation ...Some nonlinear partial differential problems of first and second order were ... See full document

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Adomian Decomposition Method for Solving Highly Nonlinear Fractional Partial Differential Equations

Adomian Decomposition Method for Solving Highly Nonlinear Fractional Partial Differential Equations

... for nonlinear fractional partial differential ...Adomian Decomposition Method is a powerful method to solve nonlinear fractional partial differential ...Adomian Decomposition ... See full document

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Laplace Discrete Adomian Decomposition Method for Solving Nonlinear Integro Differential Equations

Laplace Discrete Adomian Decomposition Method for Solving Nonlinear Integro Differential Equations

... from differential equations, partial differential equations, integral equations and integro-differential equations among ...Adomian decomposition method for finding ... See full document

20

Modified Laplace Decomposition Method for Singular IVPs in the second-Order Ordinary Differential Equations

Modified Laplace Decomposition Method for Singular IVPs in the second-Order Ordinary Differential Equations

... dinary differential equations (ODEs) have been attracted the attention of many mathematicians and ...Adomian decomposition method [1-4] and the re- lated modification [5-6] to investigate various ... See full document

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Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time Space Fractional Nonlinear Fractional Differential Equations

Comparison between the Laplace Decomposition Method and Adomian Decomposition in Time Space Fractional Nonlinear Fractional Differential Equations

... partial differential equations of physical ...the decomposition method stood up as efficient, easy and accurate in solving a great group of linear and nonlinear ordinary, partial, ... See full document

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AN APPROXIMATE SOLUTION OF TWO DIMENSIONAL NONLINEAR VOLTERRA INTEGRAL EQUATION USING NEWTON-KANTOROVICH METHOD

AN APPROXIMATE SOLUTION OF TWO DIMENSIONAL NONLINEAR VOLTERRA INTEGRAL EQUATION USING NEWTON-KANTOROVICH METHOD

... (2011). Solving nonlinear mixed Volterra-Fredholm integral equations with two dimensional block-pulse functions using direct ...Commun Nonlinear Sci Numer ...for solving ... See full document

7

Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation

Numerical Solution of Nonlinear System of Partial Differential Equations by the Laplace Decomposition Method and the Pade Approximation

... nominator have no common factors. In the LD-PA method we use the method of Pade approximation as an after- treatment method to the solution obtained by the Laplace decomposition method. This after-treatment ... See full document

10

Solving Nonlinear Differential Equations Using Adomian Decomposition Method Through Sagemath

Solving Nonlinear Differential Equations Using Adomian Decomposition Method Through Sagemath

... M. Kaliyappan is an Associate Professor of Mathematics in the School of Advanced Sciences at VIT Chennai, India. He has over 21 years of experience in teaching and research. His research interest includes Approximation ... See full document

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Fuzzy laplace transform on two order derivative and solving fuzzy two order differential equations

Fuzzy laplace transform on two order derivative and solving fuzzy two order differential equations

... equation,fuzzy laplae transform, fuzzy initial value problem.. ||||||||||||||||||||||||||||||||{.[r] ... See full document

15

The Adomian Decomposition Method for a Type of Fractional Differential Equations

The Adomian Decomposition Method for a Type of Fractional Differential Equations

... and L’Hospital have discussed 1/2 order derivative, which is regarded as the birth of fractional differential equation. For a long time, fractional calculus does not attract enough attention. It is only considered ... See full document

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Adomian decomposition method and application on solving nonlinear partial differential equations and nonlinear system partial equation

Adomian decomposition method and application on solving nonlinear partial differential equations and nonlinear system partial equation

... of nonlinear partial equations by using numerical methods and developing these methods ( AL- Safi,2007; Leveque, 2006; Rossler, Husner,1997; Wescot, ...for solving this kind of equations large ... See full document

9

Solution of a Nonlinear Delay Differential Equation Using Adomian Decomposition Method with Accelerated Formula of Adomian Polynomial

Solution of a Nonlinear Delay Differential Equation Using Adomian Decomposition Method with Accelerated Formula of Adomian Polynomial

... delay differential equations include topics as va- ried as epidemic models that describe the fraction of a population infected by a virus ...Adomian decomposition method has been shown [8] [9] [10] ... See full document

13

Numerical approximation for integral equations

Numerical approximation for integral equations

... polynomial algorithm has been extensively used to solve linear and nonlinear problems arising in many interesting applications (see, ...The algorithm (a decomposition method) assumes a series ... See full document

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