Article

A study on approximate solution of the two dimensional source identification telegraph problem with Neumann condition

Allaberen AshyralyevDepartment of Mathematics, Bahcesehir University, 34353, Istanbul, TurkeyHaitham Al-HazaimehDepartment of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, TurkeyCharyyar AshyralyyevDepartment of Mathematics, Bahcesehir University, 34353, Istanbul, Turkey

AIP conference proceedingsjournal2024en

ABI

Abstract

In the current work, two-dimensional source identification problem for the telegraph equation with Neumann boundary condition is investigated. The first order of accuracy absolute stable difference scheme to find the numerical solution of the two-dimensional identification problem for the telegraph equation with the second kind boundary condition is solved. A numerical example of the time-dependent source identification problem has been carried out to check the accuracy and effectiveness of the presented technique.

Topics

Differential Equations and Boundary Problems Numerical methods in inverse problems Differential Equations and Numerical Methods

Identifiers

DOI: 10.1063/5.0194741

Citations and references

Cited by 07 references

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