OBTAINING D'ALEMBERT'S WAVE FORMULA FROM VARIATIONAL ITERATION AND HOMOTOPY PERTURBATION METHODS

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BIAZAR J.; ANSARI R.; HOSSEINI K.; GHOLAMIN P.

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ISSN: 2588-4824

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Journal: MATHEMATICAL SCIENCES Year:2011 | Volume:5 | Issue:1 Page(s): 75-86

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Title

OBTAINING D'ALEMBERT'S WAVE FORMULA FROM VARIATIONAL ITERATION AND HOMOTOPY PERTURBATION METHODS

Author(s)

BIAZAR J. | ANSARI R. | HOSSEINI K. | GHOLAMIN P. | Issue Writer Certificate

Keywords

WAVE EQUATION

D'ALEMBERT'S FORMULA

VARIATIONAL ITERATION METHOD

HOMOTOPY PERTURBATION METHOD

Abstract

In this paper, the variational iteration and the HOMOTOPY PERTURBATION METHODs are adopted to obtain the solution of the one-dimensional WAVE EQUATION. The solutions procedure reveal that the applied methods are very efficient. In addition, the result obtained is the same as the D' Alembert's formula for the WAVE EQUATION.

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APA: Copy

BIAZAR, J., ANSARI, R., HOSSEINI, K., & GHOLAMIN, P.. (2011). OBTAINING D'ALEMBERT'S WAVE FORMULA FROM VARIATIONAL ITERATION AND HOMOTOPY PERTURBATION METHODS. MATHEMATICAL SCIENCES, 5(1), 75-86. SID. https://sid.ir/paper/322533/en

Vancouver: Copy

BIAZAR J., ANSARI R., HOSSEINI K., GHOLAMIN P.. OBTAINING D'ALEMBERT'S WAVE FORMULA FROM VARIATIONAL ITERATION AND HOMOTOPY PERTURBATION METHODS. MATHEMATICAL SCIENCES[Internet]. 2011;5(1):75-86. Available from: https://sid.ir/paper/322533/en

IEEE: Copy

J. BIAZAR, R. ANSARI, K. HOSSEINI, and P. GHOLAMIN, “OBTAINING D'ALEMBERT'S WAVE FORMULA FROM VARIATIONAL ITERATION AND HOMOTOPY PERTURBATION METHODS,” MATHEMATICAL SCIENCES, vol. 5, no. 1, pp. 75–86, 2011, [Online]. Available: https://sid.ir/paper/322533/en

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