Stability and Approximation of Solutions in New Reproducing Kernel Hilbert Spaces on a Semi-Infinite Domain
Abstract
We introduce new reproducing kernel Hilbert spaces on a trapezoidal semi-infinite domain B∞ in the plane. We establish uniform approximation results in terms of the number of nodes on compact subsets of B∞ for solutions to nonhomogeneous hyperbolic partial differential equations in one of these spaces, (Formula presented.). Furthermore, we demonstrate the stability of such solutions with respect to the driver. Finally, we give an example to illustrate the efficiency and accuracy of our results.
Recommended Citation
J. S. Hassan and D. E. Grow, "Stability and Approximation of Solutions in New Reproducing Kernel Hilbert Spaces on a Semi-Infinite Domain," Mathematical Methods in the Applied Sciences, Wiley, Jan 2021.
The definitive version is available at https://doi.org/10.1002/mma.7552
Department(s)
Mathematics and Statistics
Keywords and Phrases
reproducing kernel Hilbert space; stability of solutions; telegraph equation
International Standard Serial Number (ISSN)
0170-4214; 1099-1476
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2021 Wiley, All rights reserved.
Publication Date
01 Jan 2021
