Yang Transform Approach to Renewal Equations and Integral Equations
DOI:
https://doi.org/10.56714/bjrs.51.2.10Keywords:
Convolution Theorem, integro-differential equations, integral transforms, integral equationsAbstract
Integral transforms provide powerful tools for engineers, physicists, and mathematicians. Many issues that arise in different areas of science and engineering, can be solved with ease and effectiveness using these methods. for solution using these integral Therefore, that exact solution has been obtained using very less computational work and spending very little time as well.
The main objective of this paper is to focus on studying and classifying integro-differential equations and integral equations, how to solve the integral equations using these yang transforms by taking some practical examples such as the renewal equation, to illustrate how to use these yang integral transforms accurately and effectively.Integral transformation methods provide simple and efficient techniques for solving many problems arising in various fields of science and engineering, particularly in solving integral equations. Therefore, exact solutions are achieved using minimal computational effort and a very short time.
It also explores practical examples, such as the renewal and integral equation, to demonstrate the effectiveness and accuracy of using these integral transformations
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