Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation
In this paper we present a theoretical framework and numerical comparisons for a wavelet-based algorithm associated with both method of lines and wavelets for solving some partial differential equations. In particular, we consider a wavelet-based algorithm using Method of Lines (MOL) analysis. The a...
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2006-01-01
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doaj-9ba11c7d99214255a635a1b82dedad842020-11-25T02:13:09ZaraCollege of Education for Pure Sciencesمجلة التربية والعلم1812-125X2664-25302006-01-0118110211310.33899/edusj.2006.7922279222Method of Lines With Haar Wavelet For Solving Parabolic Differential EquationKais Ismail IbraheemIn this paper we present a theoretical framework and numerical comparisons for a wavelet-based algorithm associated with both method of lines and wavelets for solving some partial differential equations. In particular, we consider a wavelet-based algorithm using Method of Lines (MOL) analysis. The advantage is in the simplicity of the boundary modification, and relatively simple and small representing the differential operators, in contrast to other wavelet-based algorithms. The time of calculations and number of flops were reduced using Haar wavelets, and as a demonstration, an example for solving the diffusion equation.<br /> Key words: Method of Lines, partial differential equations, Haar wavelethttps://edusj.mosuljournals.com/article_79222_18ba403ae6a09821cf9170956a042fb3.pdfhaar waveletsolving parabolic differential equationwavelet-based algorithm |
collection |
DOAJ |
language |
Arabic |
format |
Article |
sources |
DOAJ |
author |
Kais Ismail Ibraheem |
spellingShingle |
Kais Ismail Ibraheem Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation مجلة التربية والعلم haar wavelet solving parabolic differential equation wavelet-based algorithm |
author_facet |
Kais Ismail Ibraheem |
author_sort |
Kais Ismail Ibraheem |
title |
Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation |
title_short |
Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation |
title_full |
Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation |
title_fullStr |
Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation |
title_full_unstemmed |
Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation |
title_sort |
method of lines with haar wavelet for solving parabolic differential equation |
publisher |
College of Education for Pure Sciences |
series |
مجلة التربية والعلم |
issn |
1812-125X 2664-2530 |
publishDate |
2006-01-01 |
description |
In this paper we present a theoretical framework and numerical comparisons for a wavelet-based algorithm associated with both method of lines and wavelets for solving some partial differential equations. In particular, we consider a wavelet-based algorithm using Method of Lines (MOL) analysis. The advantage is in the simplicity of the boundary modification, and relatively simple and small representing the differential operators, in contrast to other wavelet-based algorithms. The time of calculations and number of flops were reduced using Haar wavelets, and as a demonstration, an example for solving the diffusion equation.<br /> Key words: Method of Lines, partial differential equations, Haar wavelet |
topic |
haar wavelet solving parabolic differential equation wavelet-based algorithm |
url |
https://edusj.mosuljournals.com/article_79222_18ba403ae6a09821cf9170956a042fb3.pdf |
work_keys_str_mv |
AT kaisismailibraheem methodoflineswithhaarwaveletforsolvingparabolicdifferentialequation |
_version_ |
1724905981500981248 |