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Modified Algorithm for Solving Linear Integro-Differential Equations of the Second Kind
Department of Mathematics and Statistics, Jordan University of Science and Technology, Al Ramtha, Irbid, Jordan
Department of Mathematics and Statistics, Jordan University of Science and Technology, Al Ramtha, Irbid, Jordan
- 1 Department of Mathematics and Statistics, Jordan University of Science and Technology, Al Ramtha, Irbid, Jordan
- 2 Department of Mathematics and Statistics, Jordan University of Science and Technology, Al Ramtha, Irbid, Jordan
American Journal of Computational Mathematics·Volume 07 (2017)·Pages 157–165·Published 8 June 2017·DOI10.4236/ajcm.2017.72014
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Abstract
In this paper, a modified algorithm is proposed for solving linear integro-differential equations of the second kind. The main idea is based on applying Romberg extrapolation algorithm (REA), on Trapezoidal rule. In accordance with the computational perspective, the comparison has shown that Adomian decomposition approach is more effective to be utilized. The numerical results show that the modified algorithm has been successfully applied to the linear integro-differential equations and the comparisons with some existing methods appeared in the literature reveal that the modified algorithm is more accurate and convenient.
KeywordsAlgorithmIntegro-Differential EquationsTrapezoidal RuleRomberg Extrapolation
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