A Sinc-collocation Method for Second-order Boundary Value Problems of Nonlinear Integro-differential Equation
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@Article{JICS-7-151,
author = {S. Yeganeh, Y. Ordokhani and A. Saadatmandi},
title = {A Sinc-collocation Method for Second-order Boundary Value Problems of Nonlinear Integro-differential Equation},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {7},
number = {2},
pages = {151--160},
abstract = {1Department of Mathematics, Alzahra University, Tehran, Iran
2Department of Applied Mathematics, Faculty of Mathematical Sciences,
University of Kashan, Kashan 87317-51167, Iran
(Received November07, 2011, accepted March 1, 2012)
The sinc-collocation method is presented for solving second-order boundary
value problems of nonlinear integro-differential equation. The method is effective for
approximation in the case of the presenceof end-point singularities. Some properties of the
sinc-collocation method required for our subsequent development are given and are
utilized to reduce the computation of solution of the second-order boundary value
problems of nonlinear integro-differential equation to some algebraic equations. Some
numerical results are also given to demonstrate the validity and applicability of the
presented technique.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22656.html}
}
TY - JOUR
T1 - A Sinc-collocation Method for Second-order Boundary Value Problems of Nonlinear Integro-differential Equation
AU - S. Yeganeh, Y. Ordokhani and A. Saadatmandi
JO - Journal of Information and Computing Science
VL - 2
SP - 151
EP - 160
PY - 2024
DA - 2024/01
SN - 7
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22656.html
KW - Sinc function, Collocation method, Boundary value problems, Second-order,
Nonlinear integro-differential equation.
AB - 1Department of Mathematics, Alzahra University, Tehran, Iran
2Department of Applied Mathematics, Faculty of Mathematical Sciences,
University of Kashan, Kashan 87317-51167, Iran
(Received November07, 2011, accepted March 1, 2012)
The sinc-collocation method is presented for solving second-order boundary
value problems of nonlinear integro-differential equation. The method is effective for
approximation in the case of the presenceof end-point singularities. Some properties of the
sinc-collocation method required for our subsequent development are given and are
utilized to reduce the computation of solution of the second-order boundary value
problems of nonlinear integro-differential equation to some algebraic equations. Some
numerical results are also given to demonstrate the validity and applicability of the
presented technique.
S. Yeganeh, Y. Ordokhani and A. Saadatmandi. (2024). A Sinc-collocation Method for Second-order Boundary Value Problems of Nonlinear Integro-differential Equation.
Journal of Information and Computing Science. 7 (2).
151-160.
doi:
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