Application of homotopy perturbation method to the Zakharov-Kuznetsov equation

Barari, Amin; Janalizadeh, A.; Ganji, D.D.; Zolfaghari, H

doi:10.1088/1742-6596/96/1/012082

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2012

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“…Most models of real-life problems are still very difficult to solve. Therefore, approximate analytical solutions such as Homotopy perturbation method (HPM) [3][4][5][6][7][8][9][10][11][12] were introduced. This method is the most effective and convenient ones for both linear and nonlinear equations.…”

Section: Introductionmentioning

confidence: 99%

Analytical Solutions of Some Two-Point Non-Linear Elliptic Boundary Value Problems

Ananthaswamy¹,

Rajendran²

2012

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Several problems arising in science and engineering are modeled by differential equations that involve conditions that are specified at more than one point. The non-linear two-point boundary value problem (TPBVP) (Bratu's equation, Troesch's problems) occurs engineering and science, including the modeling of chemical reactions diffusion processes and heat transfer. An analytical expression pertaining to the concentration of substrate is obtained using Homotopy perturbation method for all values of parameters. These approximate analytical results were found to be in good agreement with the simulation results.

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Section: Introductionmentioning

confidence: 99%

Analytical Solutions of Some Two-Point Non-Linear Elliptic Boundary Value Problems

Ananthaswamy¹,

Rajendran²

2012

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show abstract

Application of homotopy perturbation method to the Zakharov-Kuznetsov equation

Cited by 1 publication

References 14 publications

Analytical Solutions of Some Two-Point Non-Linear Elliptic Boundary Value Problems

Analytical Solutions of Some Two-Point Non-Linear Elliptic Boundary Value Problems

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