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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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Main Author: Hassan, Eltayeb Gadain
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Published: Fakulti Sains dan Teknologi 2011
Subjects:
QA 218 .H3 2008
Hassan Eltayeb Gadain
Convolution product methods for solving partial differential equations
Equations > Numerical solutions
Online Access:http://hdl.handle.net/123456789/666
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spelling my.umt.ir-6662016-03-10T09:02:24Z Convolution product methods for solving partial differential equations Hassan, Eltayeb Gadain QA 218 .H3 2008 Hassan Eltayeb Gadain Convolution product methods for solving partial differential equations Equations -- Numerical solutions 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. 2011-02-16T02:37:13Z 2011-02-16T02:37:13Z 2008-03 http://hdl.handle.net/123456789/666 application/pdf application/pdf Fakulti Sains dan Teknologi
institution Universiti Malaysia Terengganu
building Perpustakaan Sultanah Nur Zahirah
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Terengganu
content_source UMT-IR
url_provider http://umt-ir.umt.edu.my:8080/
topic QA 218 .H3 2008
Hassan Eltayeb Gadain
Convolution product methods for solving partial differential equations
Equations -- Numerical solutions
spellingShingle QA 218 .H3 2008
Hassan Eltayeb Gadain
Convolution product methods for solving partial differential equations
Equations -- Numerical solutions
Hassan, Eltayeb Gadain
Convolution product methods for solving partial differential equations
description 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.
format
author Hassan, Eltayeb Gadain
author_facet Hassan, Eltayeb Gadain
author_sort Hassan, Eltayeb Gadain
title Convolution product methods for solving partial differential equations
title_short Convolution product methods for solving partial differential equations
title_full Convolution product methods for solving partial differential equations
title_fullStr Convolution product methods for solving partial differential equations
title_full_unstemmed Convolution product methods for solving partial differential equations
title_sort convolution product methods for solving partial differential equations
publisher Fakulti Sains dan Teknologi
publishDate 2011
url http://hdl.handle.net/123456789/666
_version_ 1738395541550661632
score 13.2442

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