EXPLICIT FORMULA FOR THE CLASSICAL SOLUTION OF THE CAUCHY PROBLEM FOR THE TELEGRAPH EQUATION WITH DIRAC POTENTIAL

We have established the classical solution for the Cauchy problem for the telegraph equation with Dirac potential, whose free term is of the form , where is the function sought at the point using Duhamel's principle and d'Alembert's formula.

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Publication Details

Journal
International Journal of Numerical Methods and Applications
Published
2025-09-02
DOI
https://doi.org/10.17654/0975045225019
Primary Topic
advanced mathematical theories
Type
article
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article

EXPLICIT FORMULA FOR THE CLASSICAL SOLUTION OF THE CAUCHY PROBLEM FOR THE TELEGRAPH EQUATION WITH DIRAC POTENTIAL

Togneme Alowou-Egnim, Kaman Mondobozi Lélén, SAMIE Dawaïdom
International Journal of Numerical Methods and Applications
advanced mathematical theories
article

EXPLICIT FORMULA FOR THE CLASSICAL SOLUTION OF THE CAUCHY PROBLEM FOR THE TELEGRAPH EQUATION WITH DIRAC POTENTIAL

Togneme Alowou-Egnim, Kaman Mondobozi Lélén, SAMIE Dawaïdom
article en

Abstract

We have established the classical solution for the Cauchy problem for the telegraph equation with Dirac potential, whose free term is of the form , where is the function sought at the point using Duhamel's principle and d'Alembert's formula.

International Journal of Numerical Methods and ApplicationsVol. 25(2)
Openalex Percentile: Top 71%
advanced mathematical theories
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EXPLICIT FORMULA FOR THE CLASSICAL SOLUTION OF THE CAUCHY PROBLEM FOR THE TELEGRAPH EQUATION WITH DIRAC POTENTIAL — Togneme Alowou-Egnim, Kaman Mondobozi Lélén, et al. · International Journal of Numerical Methods and Applications (2025) | TGRS Research Map | TGRS