Browsing by Author "Addai-Tweneboah, Pius Akwasi"

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    Double generalization of integral transform
    (June 6, 2019) Addai-Tweneboah, Pius Akwasi;
    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.