<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper presents the homotopy perturbation method for solving linear and non–linear two–point boundary value problems in the form of a fourth–order differential equation and five boundary conditions. Three initial and two final conditions were taken into account. The solution of this problem is possible only when the considered equation includes an unknown parameter. The presented method has been illustrated with a numerical example.</p></abstract>

This paper presents the homotopy perturbation method for solving linear and non–linear two–point boundary value problems in the form of a fourth–order differential equation and five boundary conditions. Three initial and two final conditions were taken into account. The solution of this problem is possible only when the considered equation includes an unknown parameter. The presented method has been illustrated with a numerical example.

Homotopy perturbation method for solving fourth – order boundary value problems with additional boundary condition

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This paper presents the homotopy perturbation method for solving linear and non–linear two–point boundary value problems in the form of a fourth–order...

Homotopy perturbation method for solving fourth – order boundary value problems with additional boundary condition

Published Online: May 29, 2020

Page range: 173 - 179

DOI: https://doi.org/10.4467/2353737XCT.17.160.7172

Keywords
boundary value problem, homotopy perturbation method, system of integral equations, system of differential equations

© 2017 Renata Filipowska, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Homotopy perturbation method for solving fourth – order boundary value problems with additional boundary condition

Published Online: May 29, 2020

Page range: 173 - 179

DOI: https://doi.org/10.4467/2353737XCT.17.160.7172

Keywordsboundary value problem, homotopy perturbation method, system of integral equations, system of differential equations

© 2017 Renata Filipowska, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
boundary value problem, homotopy perturbation method, system of integral equations, system of differential equations