Open AccessSolving the second kind linear volterra integrodifferential equations using the complex SEE integral transform
Author(s) -
Sadiq A. Mehdi,
Emad A. Kuffi,
Eman A. Mansour
Publication year - 2022
Publication title -
international journal of health sciences (ijhs) (en línea)
Language(s) - English
Resource type - Journals
eISSN - 2550-6978
pISSN - 2550-696X
DOI - 10.53730/ijhs.v6ns2.5382
Subject(s) - volterra integral equation , integral equation , integral transform , mathematics , algebraic equation , focus (optics) , summation equation , algebraic number , mathematical analysis , computation , nonlinear system , algorithm , physics , quantum mechanics , optics
As an important type of integral equation, Volterra integral equations snatch the focus of many scientists and mathematicians to provide approximate or exact solutions to such equations. The integral transform capability of providing an algebraic solution to the integral equations led the mathematical community to lean heavily on them to solve those kinds of equations, including the Volterra integrodifferential equations of the second kind. This paper uses the complex SEE integral transform to find the exact solution to the second kind linear Volterra integrodifferential equation. The capability and efficiency of complex SEE integral transform in providing an exact solution with the minimum number of computations possible are demonstrated via practical applications.