Stability and approximation of solutions in new reproducing kernel Hilbert spaces on a semi-infinite domain
• Jabar Hassan,
• David E. Grow
Jabar Hassan
Salahaddin University - Erbil College of Science
Author Profile
David E. Grow
Missouri University of Science and Technology
Author Profile

## Abstract

We introduce new reproducing kernel Hilbert spaces on a trapezoidal semi-infinite domain $B_{\infty}$ in the plane. We establish uniform approximation results in terms of the number of nodes on compact subsets of $B_{\infty}$ for solutions to nonhomogeneous hyperbolic partial differential equations in one of these spaces, $\widetilde{W}(B_{\infty})$. 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.

#### Peer review status:ACCEPTED

08 Feb 2021Submitted to Mathematical Methods in the Applied Sciences
09 Feb 2021Assigned to Editor
09 Feb 2021Submission Checks Completed
03 Mar 2021Reviewer(s) Assigned
28 Apr 2021Review(s) Completed, Editorial Evaluation Pending
07 May 2021Editorial Decision: Accept