A novel kernel functions algorithm for solving impulsive boundary value problems

In this letter, to fit the character of solutions to impulsive boundary value problems (IBVPs), we firstly construct a piecewise continuous space using the reproducing kernel function (RKF) of smooth reproducing kernel Hilbert space (RKHS) W3. Then we present a fourth order convergent collocation ap...

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Bibliographic Details
Published inApplied mathematics letters Vol. 134; p. 108318
Main Authors Geng, F.Z., Wu, X.Y.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2022
Subjects
Impulsive boundary value problems
Kernel functions
Piecewise continuous space
Kernel functions
Piecewise continuous space
Impulsive boundary value problems
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ISSN0893-9659
1873-5452
DOI10.1016/j.aml.2022.108318

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Summary:In this letter, to fit the character of solutions to impulsive boundary value problems (IBVPs), we firstly construct a piecewise continuous space using the reproducing kernel function (RKF) of smooth reproducing kernel Hilbert space (RKHS) W3. Then we present a fourth order convergent collocation approach for IBVPs by using the piecewise continuous basis functions yielded by RKFs in W3. Also, the convergence order of our approach is proved. The accuracy and convergence order are shown numerically.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2022.108318