A new reproducing kernel collocation method for nonlocal fractional boundary value problems with non-smooth solutions

2018 ◽  
Vol 86 ◽  
pp. 194-199 ◽  
Author(s):  
Xiuying Li ◽  
Boying Wu
Keyword(s):  
Boundary Value Problems ◽  
Collocation Method ◽  
Reproducing Kernel ◽  
Boundary Value ◽  
Smooth Solutions ◽  
Fractional Boundary Value Problems

scholarly journals A Novel Method for Solutions of Fourth-Order Fractional Boundary Value Problems

2019 ◽  
Vol 3 (2) ◽  
pp. 33 ◽  
Author(s):  
Ali Akgül ◽  
Esra Karatas Akgül
Keyword(s):  
Hilbert Space ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Reproducing Kernel ◽  
Reproducing Kernel Hilbert Space ◽  
Boundary Value ◽  
Approximate Solutions ◽  
Novel Method ◽  
Fractional Boundary Value Problems ◽  
Space Method

In this paper, we find the solutions of fourth order fractional boundary value problems by using the reproducing kernel Hilbert space method. Firstly, the reproducing kernel Hilbert space method is introduced and then the method is applied to this kind problems. The experiments are discussed and the approximate solutions are obtained to be more correct compared to the other obtained results in the literature.

A gradient reproducing kernel collocation method for boundary value problems

2013 ◽  
Vol 93 (13) ◽  
pp. 1381-1402 ◽  
Author(s):  
Sheng-Wei Chi ◽  
Jiun-Shyan Chen ◽  
Hsin-Yun Hu ◽  
Judy P. Yang
Keyword(s):  
Boundary Value Problems ◽  
Collocation Method ◽  
Reproducing Kernel ◽  
Boundary Value
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