Double generalization of integral transform

dc.contributor.authorAddai-Tweneboah, Pius Akwasi
dc.contributor.author
dc.date.accessioned2021-06-24T16:11:03Z
dc.date.accessioned2023-04-19T03:59:48Z
dc.date.available2021-06-24T16:11:03Z
dc.date.available2023-04-19T03:59:48Z
dc.date.issuedJune 6, 2019
dc.descriptionA thesis submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology in partial fulfillment of the requirement for the degree of M.Phil Applied Mathematics.en_US
dc.description.abstractIn this work, we extended the one dimensional generalization of integral transform to two dimensions. Thus, we introduce double Generalization of integral trans form (DGIT), GxGy{f(x, y)} = uv R ∞ 0 R ∞ 0 f(ux, vy)e −(usx+pvy)dxdy, ∀(x, y) ∈ {0} ∪ R +, for solving partial differential equations (PDEs). In addition, the convolution, linearity, scaling and convergence properties of DGIT are established in this thesis. We then applied the DGIT to solve some PDEs which confirms the solutions of these PDEs obtained by using other integral transforms.en_US
dc.description.sponsorshipKNUSTen_US
dc.identifier.urihttps://ir.knust.edu.gh/handle/123456789/14140
dc.language.isoen_USen_US
dc.subjectIntegral transformen_US
dc.titleDouble generalization of integral transformen_US
dc.typeThesisen_US
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