On using sinc collocation approach for solving a parabolic PDE with nonlocal boundary conditions

Volume 14, Issue 1, pp 29--38 http://dx.doi.org/10.22436/jnsa.014.01.04
Publication Date: June 13, 2020 Submission Date: November 28, 2018 Revision Date: March 29, 2020 Accteptance Date: April 08, 2020

Authors

Mohamed El-Gamel - Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Egypt. Mahmoud Abd El-Hady - Department of Mathematical Sciences, Faculty of Engineering, Mansoura University, Egypt.


Abstract

This work suggests a simple method based on a sinc approximation at sinc nodes for solving parabolic partial differential equations with nonlocal boundary conditions. Sinc approximation are typified by errors of the form O\(\left(e^{-k/h}\right)\), where \(k > 0\) is a constant and \(h\) is a step size. Some numerical examples are utilized to reveal the efficaciousness and precision of this method. The suggested method is flexible, easy to programme and efficient.


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ISRP Style

Mohamed El-Gamel, Mahmoud Abd El-Hady, On using sinc collocation approach for solving a parabolic PDE with nonlocal boundary conditions, Journal of Nonlinear Sciences and Applications, 14 (2021), no. 1, 29--38

AMA Style

El-Gamel Mohamed, Abd El-Hady Mahmoud, On using sinc collocation approach for solving a parabolic PDE with nonlocal boundary conditions. J. Nonlinear Sci. Appl. (2021); 14(1):29--38

Chicago/Turabian Style

El-Gamel, Mohamed, Abd El-Hady, Mahmoud. "On using sinc collocation approach for solving a parabolic PDE with nonlocal boundary conditions." Journal of Nonlinear Sciences and Applications, 14, no. 1 (2021): 29--38


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