A new reproducing kernel collocation method for nonlocal fractional boundary value problems with non-smooth solutions. (December 2018)

• Record Type: Journal Article
• Authors: Li, Xiuying; Wu, Boying
• Is Part Of: Applied mathematics letters. Volume 86(2018)
• Page Start: 194
• Page End: 199
• Publication Date: 2018-12
• Subjects: Reproducing kernel -- Fractional order -- Non-smooth solutions -- Approximate solutions; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2018.06.035
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this letter, a new reproducing kernel collocation method is presented for solving nonlocal fractional boundary value problems with non-smooth solutions. The method is based on the reproducing kernel basis function and the polynomial basis function. The present method can avoid finding a reproducing kernel satisfying nonlocal boundary conditions. The effectiveness of the numerical scheme is illustrated through two numerical examples.