Comparison between the Variational Iteration Method and the Homotopy Perturbation Method for the Sturm-Liouville Differential Equation

Neamaty, A.; Darzi, Rahmat

doi:10.1155/2010/317369

Cited by 11 publications

(7 citation statements)

References 22 publications

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“…In this section, we present a brief description of the HPM, to illustrate the basic ideas of the HPM, we consider the following DE (Neamaty and Darzi, 2010;Chun and Sakthivel, 2010;Batiha, 2015;Abbasbandy, 2006):…”

Section: Homotopy Perturbation Methods (Hpm)mentioning

confidence: 99%

Application of Homotopy Perturbation Method for SIR Model with Vital Dynamics and Constant Population

Mechee¹,

Al-Juaifri²

2018

American Journal of Applied Sciences

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In this work, we have studied Susceptible-Infected-Recovered (SIR) model with vital dynamics and constant population, which is used as a mathematical models in many physically significant fields of applied science. The Homotopy Perturbation Method (HPM) and Runge-Kutta method (RK) have been used for solving the SIR model with vital dynamics and constant population. The convergence of HPM has been studied. Also, we have tested the HPM on solving different implementations which are show the efficiency and accuracy of the method. The approximated solutions of HPM for the tested problems are agree well with the numerical solutions of Runge-Kutta method.

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Section: Homotopy Perturbation Methods (Hpm)mentioning

confidence: 99%

Application of Homotopy Perturbation Method for SIR Model with Vital Dynamics and Constant Population

Mechee¹,

Al-Juaifri²

2018

American Journal of Applied Sciences

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“…where A is general differential operator, B is a boundary operator, f (z) a known analytic function and ∂Ω is the boundary of the domain Ω. [8], [3],…”

Section: Analysis Of Homotopy Perturbation Methodsmentioning

confidence: 99%

Modified homotopy perturbation method for solving generalized linear complex differential equations

Mechee¹,

Al-Juaifri²,

Joohy³

2017

ams

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In this work, we have studied the linear complex differential equations which are used as mathematical models in many physically significant fields and applied science. The homotopy perturbation method (HPM) has been modified for solving generalized linear complex differential equations. Also, we have tested the modified HPM for the solving of different implementations which are show the efficiency and accuracy of the proposed method. The approximated solutions are agree well with analytical solutions for the tested problems.

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“…In this section, we present a brief description of the HPM, to illustrate the basic ideas of the homotopy perturbation method, we consider the following differential equation (Neamaty & Darzi (2010), Chun & Sakthivel (2010), Batiha (2015) & Abbasbandy 2006):…”

Section: Homotopy Perturbation Method(hpm)mentioning

confidence: 99%

A Study of General First-order Partial Differential Equations Using Homotopy Perturbation Method

Mechee¹,

Al-Juaifri²

2017

IJMTT

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In this work, we have studied a general class of linear first-order partial differential equations which is used as mathematical models in many physically significant fields and applied science. The homotopy perturbation method (HPM) has been used for solving generalized linear first-order partial differential equation. Also, we have tested the HPM on the solving of different implementations which show the efficiency and accuracy of the method. The approximated solutions are agree well with analytical solutions for the tested problems Moreover, the approximated solutions proved that the proposed method to be efficient and high accurate.

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Comparison between the Variational Iteration Method and the Homotopy Perturbation Method for the Sturm-Liouville Differential Equation

Cited by 11 publications

References 22 publications

Application of Homotopy Perturbation Method for SIR Model with Vital Dynamics and Constant Population

Application of Homotopy Perturbation Method for SIR Model with Vital Dynamics and Constant Population

Modified homotopy perturbation method for solving generalized linear complex differential equations

A Study of General First-order Partial Differential Equations Using Homotopy Perturbation Method

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