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[PDF] Top 20 An improvement to the homotopy perturbation method for solving integro-differential equations

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An improvement to the homotopy perturbation
 method for solving integro-differential equations

An improvement to the homotopy perturbation method for solving integro-differential equations

... by integro-differential equations, the nu- merical solutions of such integro-differential equations have been highly studied by many authors ...for integro-differential equations ... See full document

11

Optimal Homotopy Asymptotic Method for Solving Integro-differential Equations

Optimal Homotopy Asymptotic Method for Solving Integro-differential Equations

... NTEGRO-DIFFERENTIAL equations arise in modeling various physical and engineering ...problems. Solving such equations is very interesting, and several numerical and analytical methods have been ... See full document

7

New Approach for Solving Three Dimensional Space Partial Differential Equation

New Approach for Solving Three Dimensional Space Partial Differential Equation

... transform method to solve partial differential equations, for finding suitable accurate solutions in a wider ...the homotopy perturbation method in order to solve three ... See full document

7

Elzaki transform homotopy perturbation method for partial differential equations

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

Combine aboodh transform and homotopy perturbation method for  solving linear and nonlinear schrodinger equations

Combine aboodh transform and homotopy perturbation method for solving linear and nonlinear schrodinger equations

... partial differential equations by using various ...decomposition method Hashim, Noorani, ...the homotopy perturbation method Sweilam, Khader (2009), Jafari, Aminataei (2010), ... See full document

5

New Approach of Homotopy Perturbation Method for Solving the Equations in Enzyme Biochemical Systems

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

Variational iterative method: an appropriate numerical scheme for solving system of linear Volterra fuzzy integro differential equations

Variational iterative method: an appropriate numerical scheme for solving system of linear Volterra fuzzy integro differential equations

... approximate method has to be ...transforms, homotopy perturbation techniques and others [1, 3, 5, 6, 8, 10, 14, ...fuzzy integro-differential ...Mura method [14], Ji Huan He [12] ... See full document

15

Modified homotopy perturbation method for solving non-linear oscillator's ‎equations

Modified homotopy perturbation method for solving non-linear oscillator's ‎equations

... the homotopy pertur- bation method HPM for solving nonlinear prob- lems; second to demonstrate the basic idea of the new form of homotopy perturbation transform method (NHPTM) ... See full document

7

A Comparative Study of Variational Iteration Method and He Laplace Method

A Comparative Study of Variational Iteration Method and He Laplace Method

... -expansion method [4] and Hirota bilinear method ...diffenential equations by using various ...decomposition method (ADM) [7], He’s Semi- inverse method [8], the tanh method, ... See full document

9

Legendre Wavelet and He's Homotopy Perturbation Methods for Linear Fractional Integro Differential Equations

Legendre Wavelet and He's Homotopy Perturbation Methods for Linear Fractional Integro Differential Equations

... wavelet method (LWM) and He's Homotopy perturbation method (HPM) are applied to approximate solution for linear fractional integro-differential equation with initial ... See full document

7

On The Simulation of Partial Differential Equations Using the Hybrid of Fourier Transform and Homotopy Perturbation Method

On The Simulation of Partial Differential Equations Using the Hybrid of Fourier Transform and Homotopy Perturbation Method

... the homotopy perturbation method, the Fourier transform homotopy perturbation method (FTHPM), is presented in this ...and homotopy perturbation ...new method ... See full document

11

A Strong Method for Solving Systems of Integro Differential Equations

A Strong Method for Solving Systems of Integro Differential Equations

... wavelets method in the literature [1-3]. Systems of integro-differential equations arise in ma- thematical modeling of many ...for solving these systems such as, Adomian decomposition ... See full document

9

RETRACTED:Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation

RETRACTED:Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein Gordon Equation

... Nonlinear phenomena that appear in many areas of scientific fields such as solid state physics, plasma physics, fluid dynamics, mathematical biology and chemical kinetics are modeled in terms of nonlinear partial ... See full document

16

Asymptotic Solutions of Coupled Spring Systems with Cubic Nonlinearity using Homotopy Perturbation Method

Asymptotic Solutions of Coupled Spring Systems with Cubic Nonlinearity using Homotopy Perturbation Method

... the homotopy perturbation method (HPM) has been successfully applied to solve the dynamics of a coupled spring system with cubic ...efficient method for obtaining solutions of nonlinear ... See full document

14

Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator

Application of Homotopy Perturbation Method and Parameter Expanding Method to Fractional Van der Pol Damped Nonlinear Oscillator

... motopy perturbation method (HPM) and Parameter ex- panding method (PEM) to obtain the approximate peri- odic solutions to fractional Van der Pol damped nonlin- ear ...for solving non- linear ... See full document

5

He’s Homotopy Perturbation Method for solving Linear and Non-Linear Fredholm Integro-Differential Equations

He’s Homotopy Perturbation Method for solving Linear and Non-Linear Fredholm Integro-Differential Equations

... the integro- differential equations through their work in science applications like heat transformer, neutron diffusion, and biological species coexisting together with increasing and decreasing ... See full document

8

A Modified New Homotopy Perturbation Method for Solving Linear Integral Equations – Differential

A Modified New Homotopy Perturbation Method for Solving Linear Integral Equations – Differential

... functional equations, such as ordinary or partial differential equations, integral and integral-differential equations ...new Homotopy Perturbation Method (HPM) is ... See full document

6

Laplace Homotopy Perturbation Method of Solving Nonlinear Partial Differential Equations

Laplace Homotopy Perturbation Method of Solving Nonlinear Partial Differential Equations

... and homotopy perturbation method to solve homogeneous and nonhomogeneous nonlinear partial differential ...This method solves nonlinear partial differential equations ... See full document

6

Mixed of Elzaki Transform and Projected Differential Transform Method for a Nonlinear Wave-Like Equations with Variable Coefficients

Mixed of Elzaki Transform and Projected Differential Transform Method for a Nonlinear Wave-Like Equations with Variable Coefficients

... decomposition method (ADM), ...using homotopy perturbation transform method ( HPTM) these types of equation tool [7], furthermore, ...for solving nonlin- ear heat and wave-like equation ... See full document

17

The Legendre Wavelet Method for Solving Singular Integro-differential Equations

The Legendre Wavelet Method for Solving Singular Integro-differential Equations

... In the present article, we are concerned with the application of Legendre wavelets to find the approximate solution of Eq. (1.1). The Legendre wavelet method (LWM) consists of reducing the given integral ... See full document

7

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