APPLICATION OF COLLOCATION METHOD IN FINDING ROOTS

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ESLAHCHI M.R.; PARVIZI M.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2013 | Volume:8 | Issue:1 Page(s): 91-104

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Information Journal Paper

Title

APPLICATION OF COLLOCATION METHOD IN FINDING ROOTS

Author(s)

ESLAHCHI M.R. | PARVIZI M. | Issue Writer Certificate

Keywords

FINDING ROOT

COLLOCATION METHOD

JACOBI POLYNOMIAL

BOUNDARY VALUE EQUATION

CONVERGENCE

Abstract

In this paper we present a new method to find simple or multiple roots of functions in a finite interval. In this method using bisection method we can find an interval such that this function is one to one on it, thus we can transform problem of FINDING ROOTs in this interval into an ordinary differential equation with boundary conditions.By solving this equation using COLLOCATION METHOD we can find a root for given function in the special interval. We also present CONVERGENCE analysis of the new method. Finally some examples are given to show efficiency of the presented method.

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APA: Copy

ESLAHCHI, M.R., & PARVIZI, M.. (2013). APPLICATION OF COLLOCATION METHOD IN FINDING ROOTS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 8(1), 91-104. SID. https://sid.ir/paper/310352/en

Vancouver: Copy

ESLAHCHI M.R., PARVIZI M.. APPLICATION OF COLLOCATION METHOD IN FINDING ROOTS. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2013;8(1):91-104. Available from: https://sid.ir/paper/310352/en

IEEE: Copy

M.R. ESLAHCHI, and M. PARVIZI, “APPLICATION OF COLLOCATION METHOD IN FINDING ROOTS,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 8, no. 1, pp. 91–104, 2013, [Online]. Available: https://sid.ir/paper/310352/en

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