Work

Inverse problems for discrete Hermite nabla difference equation

Year: 2024

Type: article

Abstract: Inverse problems are studied for discrete Hermite equations with nabla difference including initial value, terminal value and Sturm–Liouville problems. A quantitative study is conducted to obtain the solution. The problem with initial value and terminal value conditions is transformed into a simple recursive formula while the Sturm–Liouville problem is transformed into a generalized eigenvalue problem. Some analyses related to the corresponding matrix are done. The eigenvalues are computed using the determinant of the corresponding pencil matrix. Furthermore, a simple and fast recursive algorithm is proposed for computing corresponding eigenvectors. Several examples are provided to explain the method simply and to demonstrate the numerical results.

Source: Applied Mathematics in Science and Engineering

DOI: 10.1080/27690911.2024.2431000

Authors: B. Shiri, Y. Guang, D. Baleanu

Institutions: Neijiang Normal University, Chongqing University of Posts and Telecommunications, Institute of Space Science - INFLPR Subsidiary, Lebanese American University

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405429832

FWCI: 3.905

Cites: 23

Cited by: 5

Related to: 10