Research Journal of Engineering and Technology

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Effects of Nonlinearity over Linearity by Using Homotopy Perturbation Method


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1 Department of Mathematics, National Institute of Technology, Hamirpur-177005, India
     

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In this paper, the Homotopy Perturbation Method is used to study the effect of nonlinearity, under same initial conditions for first and second order partial differential equations. Numerical treatment and graphical presentation of displacement versus distance for different times for both linear and nonlinear equation is also done to discuss the nonlinearity effects.
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  • Effects of Nonlinearity over Linearity by Using Homotopy Perturbation Method

Abstract Views: 237  |  PDF Views: 0

Authors

S. K. Rana
Department of Mathematics, National Institute of Technology, Hamirpur-177005, India
P. K. Sharma
Department of Mathematics, National Institute of Technology, Hamirpur-177005, India

Abstract


In this paper, the Homotopy Perturbation Method is used to study the effect of nonlinearity, under same initial conditions for first and second order partial differential equations. Numerical treatment and graphical presentation of displacement versus distance for different times for both linear and nonlinear equation is also done to discuss the nonlinearity effects.