Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae

Mawardi Bahri; Ryuichi Ashino

doi:10.1155/2020/1273194

Abstract and Applied Analysis (Jan 2020)

Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae

Mawardi Bahri,
Ryuichi Ashino

Affiliations

Mawardi Bahri: Department of Mathematics, Hasanuddin University, Makassar 90245, Indonesia
Ryuichi Ashino: Division of Mathematical Sciences, Osaka Kyoiku University, Osaka 582-8582, Japan

DOI: https://doi.org/10.1155/2020/1273194
Journal volume & issue: Vol. 2020

Abstract

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Several essential properties of the linear canonical transform (LCT) are provided. Some results related to the sampling theorem in the LCT domain are investigated. Generalized wave and heat equations on the real line are introduced, and their solutions are constructed using the sampling formulae. Some examples are presented to illustrate our results.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.hindawi.com/journals/aaa/

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