EN
A new efficient multi-parametric homotopy approach for two-dimensional Fredholm integral equations of the second kind
Abstract
In this paper, a new multi-parametric homotopy approach is proposed to find
the approximate solution of linear and non-linear two-dimensional Fredholm
integral equations of the second kind. In this framework, convergence of the
proposed approach for these types of equations is investigated. This homotopy contain two auxiliary parameters that provide a simple way of controlling
the convergence region of series solution. The results of present method are
compared with Adomian decomposition method (ADM) results which provide
confirmation for the validity of proposed approach. Two examples are presented
to illustrate the accuracy and effectiveness of the proposed approach.
Keywords
References
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Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
February 1, 2015
Submission Date
October 24, 2013
Acceptance Date
December 12, 2013
Published in Issue
Year 2015 Volume: 44 Number: 1
APA
Khan, Y., & Fardi, M. (2015). A new efficient multi-parametric homotopy approach for two-dimensional Fredholm integral equations of the second kind. Hacettepe Journal of Mathematics and Statistics, 44(1), 93-99. https://izlik.org/JA29PK89XB
AMA
1.Khan Y, Fardi M. A new efficient multi-parametric homotopy approach for two-dimensional Fredholm integral equations of the second kind. Hacettepe Journal of Mathematics and Statistics. 2015;44(1):93-99. https://izlik.org/JA29PK89XB
Chicago
Khan, Y., and M. Fardi. 2015. “A New Efficient Multi-Parametric Homotopy Approach for Two-Dimensional Fredholm Integral Equations of the Second Kind”. Hacettepe Journal of Mathematics and Statistics 44 (1): 93-99. https://izlik.org/JA29PK89XB.
EndNote
Khan Y, Fardi M (February 1, 2015) A new efficient multi-parametric homotopy approach for two-dimensional Fredholm integral equations of the second kind. Hacettepe Journal of Mathematics and Statistics 44 1 93–99.
IEEE
[1]Y. Khan and M. Fardi, “A new efficient multi-parametric homotopy approach for two-dimensional Fredholm integral equations of the second kind”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, pp. 93–99, Feb. 2015, [Online]. Available: https://izlik.org/JA29PK89XB
ISNAD
Khan, Y. - Fardi, M. “A New Efficient Multi-Parametric Homotopy Approach for Two-Dimensional Fredholm Integral Equations of the Second Kind”. Hacettepe Journal of Mathematics and Statistics 44/1 (February 1, 2015): 93-99. https://izlik.org/JA29PK89XB.
JAMA
1.Khan Y, Fardi M. A new efficient multi-parametric homotopy approach for two-dimensional Fredholm integral equations of the second kind. Hacettepe Journal of Mathematics and Statistics. 2015;44:93–99.
MLA
Khan, Y., and M. Fardi. “A New Efficient Multi-Parametric Homotopy Approach for Two-Dimensional Fredholm Integral Equations of the Second Kind”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 1, Feb. 2015, pp. 93-99, https://izlik.org/JA29PK89XB.
Vancouver
1.Y. Khan, M. Fardi. A new efficient multi-parametric homotopy approach for two-dimensional Fredholm integral equations of the second kind. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Feb. 1;44(1):93-9. Available from: https://izlik.org/JA29PK89XB