[PDF] Top 20 The combined of Homotopy analysis method with new transform for nonlinear partial differential equations
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The combined of Homotopy analysis method with new transform for nonlinear partial differential equations
... Nonlinear equations are of great importance to our contem- porary world. Nonlinear phenomena have important applica- tions in applied mathematics, physics, and issues related to ...of ... See full document
7
Laplace Homotopy Perturbation Method of Solving Nonlinear Partial Differential Equations
... integral transform in solving nonlinear differential equations may increase the ...of nonlinear differential equations by using diverse ...Laplace transform and ... See full document
6
Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel
... the homotopy perturbation transform method (HPTM) to solve nonlinear fractional partial differential equations using the fractional operator of Caputo- Fabrizio ...proposed ... See full document
18
Nonlinear Bending Analysis of Sector Graphene Sheet Embedded in Elastic Matrix Based on Nonlocal Continuum Mechanics
... The nonlinear bending behavior of sector graphene sheets is studied subjected to uniform transverse loads resting on a Winkler-Pasternak elastic foundation using the nonlocal elasticity ...nonlocal ... See full document
10
A. One Dimensional Differential Transform Method
... a nonlinear function, and f x t ( , ) is a known analytic ...of nonlinear partial differential equations such as the Adomian Decomposition Method (ADM) [4-7], the EXP function ... See full document
5
A. One Dimensional Differential Transform Method
... of nonlinear partial differential equations such as the Adomian Decomposition Method (ADM) [5-9], the EXP function method [10], the Homotopy Perturbation Method ... See full document
5
On The Simulation of Partial Differential Equations Using the Hybrid of Fourier Transform and Homotopy Perturbation Method
... Fourier transform and homotopy perturbation method is developed for solving the non-homogeneous partial differential equations with variable ...Fourier transform is ... See full document
11
Application of He's homotopy perturbation method for solving Sivashinsky equation
... the homotopy perturbation method (HPM) [1, 7] in nonlinear problems has been developed by scientists and engineers, because this method continuously deforms the difficult problem under study ... See full document
7
Homotopy Analysis Method for Equations of the Type Δ2=b(x,y) and Δ2u=b(x,y,u)
... The homotopy analysis method is developed in 1992 by Liao ...this method is independent of small/large physical ...This method has been successfully applied to solve many linear and non ... See full document
8
A New Numerical Technique for Solving Systems Of Nonlinear Fractional Partial Differential Equations
... efficient method called the Aboodh decomposition method to solve systems of nonlinear fractional partial differential ...This method is a combined form of Aboodh ... See full document
10
Numerical study for fractional model of nonlinear predator-prey biological population dynamic system
... homotopy analysis transform technique to analyze the time-fractional nonlinear predator-prey population ...order nonlinear partial differential equations often ... See full document
28
Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular
... an analysis based on a combination of the Laplace transform and homotopy methods in order to provide a new analytical approximated solutions of the fractional partial differential ... See full document
17
Using Homo Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations
... be combined with another method to produce a more efficient ...efficient method for solving PDEs and ODEs (ordinary differential equations) with integer or fractional ...variables ... See full document
9
Differential transform method for conformable fractional partial differential equations
... a new generalization of the two-dimensional differential trans- form ...The new generalization is based on the two-dimensional differ- ential transform method, fractional power series ... See full document
13
New Approach of Homotopy Perturbation Method for Solving the Equations in Enzyme Biochemical Systems
... Non-linear differential equations can model many phenomena in different fields of science and engineering in order to present their behaviors and effects by mathematical ...the equations do not have ... See full document
6
Combine aboodh transform and homotopy perturbation method for solving linear and nonlinear schrodinger equations
... and nonlinear Schrodinger equation is an example of a universal linear and nonlinear model that describes many physical ...tohydrodynamics,optics, nonlinear acoustics, quantum condensates, heat ... See full document
5
A Comparative Study of Variational Iteration Method and He Laplace Method
... iteration method and He-Laplace method are used to solve the nonlinear ordinary and partial differential ...the homotopy perturbation method is called He-Laplace ... See full document
9
Homotopy Analysis Sumudu Transform Method for Nonlinear Equations
... a new approximate method, namely homotopy analysis sumudu transform method (HASTM) to solve various linear and nonlinear Fokker-Planck equa- ...The homotopy ... See full document
14
Elzaki transform homotopy perturbation method for partial differential equations
... methods, homotopy perturbation techniques and ELzaki transform caught our ...the homotopy method has been around for 17 years, it is not taught formally in the graduate ...this method ... See full document
22
Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations
... a combined form of natural transform with homotopy analysis method is proposed to solve nonlinear fractional partial differential ...This method is called ... See full document
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