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Asymptotic distributions of Neumann problem for Sturm-Liouville equation | ||
| Computational Methods for Differential Equations | ||
| مقاله 3، دوره 2، شماره 1، فروردین 2014، صفحه 19-25 اصل مقاله (107.97 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Hamidreza Marasi* ؛ Esmail Khezri | ||
| University of Bonab, Bonab, Iran | ||
| چکیده | ||
| In this paper we apply the Homotopy perturbation method to derive the higher-order asymptotic distribution of the eigenvalues and eigenfunctions associated with the linear real second order equation of Sturm-liouville type on $[0,pi]$ with Neumann conditions $(y'(0)=y'(pi)=0)$ where $q$ is a real-valued Sign-indefinite number of $C^{1}[0,pi]$ and $lambda$ is a real parameter. | ||
| کلیدواژهها | ||
| Sturm-Liouville؛ Nondefinite problem؛ Homotopy perturbation method؛ Asymptotic distribution | ||
| مراجع | ||
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[13] E. yusufoglu, A homotopy perturbation algorithm to solve a system of Fredholm-Volterra type integral equations, Mathematical and Computer Modeling, 47 (2008), 1099-1107. | ||
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