Troesch’s problem solved by Sinc methods

2019 ◽  
Vol 162 ◽  
pp. 31-44
Author(s):  
Maha Youssef ◽  
Gerd Baumann
2012 ◽  
Vol 9 (1) ◽  
pp. 920-924 ◽  
Author(s):  
Shih-Hsiang Chang ◽  
I-Ling Chang

1986 ◽  
Vol 19 (1-4) ◽  
pp. 311-319 ◽  
Author(s):  
Steve Schaffer ◽  
Frank Stenger
Keyword(s):  

Author(s):  
Seyed Mohammad Ali Aleomraninejad ◽  
Mehdi Solaimani

In this paper, we combine the sinc and self-consistent methods to solve a class of non-linear eigenvalue differential equations. Some properties of the self-consistent and sinc methods required for our subsequent development are given and employed. Numerical examples are included to demonstrate the validity and applicability of the introduced technique and a comparison is made with the existing results. The method is easy to implement and yields accurate results. We show that the sinc-self-consistent method can solve the equations on an infinite domain and produces the smallest eigenvalue with the most accuracy


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