Convolution product methods for solving partial differential equations
In this thesis, the double convolutions properties are studied. We solved first order non-homogenous Partial Differential Equations (PDE) having non-homogenous initial condition by using reduction to first-order PDE technique. The Green's formula, Green's function and generalized functio...
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Fakulti Sains dan Teknologi
2011
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| Online Access: | http://hdl.handle.net/123456789/666 |
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| Summary: | In this thesis, the double convolutions properties are studied. We solved first order
non-homogenous Partial Differential Equations (PDE) having non-homogenous initial condition by using reduction to first-order PDE technique. The Green's
formula, Green's function and generalized function and the reduction to first-order
PDE techniques have been used to solve the non-homogenous wave equation with initial condition. The non-homogenous terms used in this study are convolution terms. Furthermore the uniqueness and continuity of non-homogenous wave equation discussed. |
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