Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 46, Issue 4, Pages 4363-4378Publisher
WILEY
DOI: 10.1002/mma.8763
Keywords
convolution; differential equations; integral equations; Laplace transform; partial differential equations
Categories
Ask authors/readers for more resources
In this paper, various theorems and relationships are examined using a generalized Laplace-type integral transform. The harmonic oscillator, initial-boundary problems, and integral equations in non-resisting and resisting mediums are solved through this integral transform. Additionally, the well-known Basel problem series is obtained using a similar approach. Moreover, a numerical comparison between the classical and newly introduced integral transforms is conducted.
In this paper, several theorems and relations are examined by using a generalized Laplace-type integral transform. A generalization of the harmonic oscillator in a non-resisting and resisting medium problems, initial-boundary problems, and integral equations is solved via this integral transform. Furthermore, the well-known series entitled as Basel problem is obtained in a similar way. Moreover, we compare numerically classical and newly introduced by us integral transform.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available