The Cauchy problem for matrix factorizations of Helmholtz equation in space

Davron Aslonqulovich Juraev; Praveen Agarwal; Ali Shokri; Ebrahim E. Elsayed

doi:10.1016/B978-0-44-318505-2.00016-7

The Cauchy problem for matrix factorizations of Helmholtz equation in space

Davron Aslonqulovich Juraev
, Praveen Agarwal
, Ali Shokri
, Ebrahim E. Elsayed

University of Economics and Pedagogy
International College of Engineering
University of Maragheh
Mansoura University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In this chapter, we find a regularized solution of the ill-posed Cauchy problem for matrix factorizations of the Helmholtz equation in a three-dimensional bounded domain. A regularization of the Cauchy problem for matrix factorizations of the Helmholtz equation in a layer-type domain is investigated.

Original language	English
Title of host publication	Recent Trends in Fractional Calculus and its Applications
Publisher	Elsevier
Pages	177-210
Number of pages	34
ISBN (Electronic)	9780443185052
ISBN (Print)	9780443185069
DOIs	https://doi.org/10.1016/B978-0-44-318505-2.00016-7
State	Published - 1 Jan 2024
Externally published	Yes

Keywords

Cauchy problem
Differential equations
Helmholtz equation
Matrix factorizations
Space equation

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10.1016/B978-0-44-318505-2.00016-7

Cite this

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AU - Shokri, Ali

AU - Elsayed, Ebrahim E.

PY - 2024/1/1

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KW - Differential equations

KW - Helmholtz equation

KW - Matrix factorizations

KW - Space equation

UR - https://www.scopus.com/pages/publications/85203235254

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ER -

The Cauchy problem for matrix factorizations of Helmholtz equation in space

Abstract

Keywords

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