Double generalization of integral transform
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Date
June 6, 2019
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Abstract
In 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.
Description
A 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.
Keywords
Integral transform