PERSAMAAN GELOMBANG PADA MEMBRAN PERSEGI PANJANG DAN MEMBRAN LINGKARAN (WAVE EQUATION IN RECTANGULAR MEMBRANE AND CIRCULAR MEMBRANE)
In this final task, we discuss about wave equation in rectangular membrane and circular membrane for homogeneous and non homogeneous case. We begin by discussing the fundamental concept of Differential Equation, Sturm � Liouville Eigen Value Problem, Fourier Series, Double Fourier Series, Method o...
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| Main Authors: | , |
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| Format: | Theses and Dissertations NonPeerReviewed |
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[Yogyakarta] : Universitas Gadjah Mada
2014
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| Online Access: | https://repository.ugm.ac.id/133195/ http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=73755 |
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| Institution: | Universitas Gadjah Mada |
| Summary: | In this final task, we discuss about wave equation in rectangular membrane and circular membrane for homogeneous and non homogeneous case. We begin by discussing the fundamental concept of Differential Equation, Sturm � Liouville Eigen Value Problem, Fourier Series, Double Fourier Series, Method of Separation Variables, Laplace Transform, Fourier Transform, Bessel Differential Equation, Bessel Function and Fourier-Bessel Series. The next we discuss about constructing wave equation and several possibilities of Initial and Boundary Value Problem of wave equations. We use Method of Separation Variables to solve homogeneous Initial and Boundary Value Problem and we use Laplace Transform and Fourier Transform to solve non homogeneous Initial and Boundary Value Problem |
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