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Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation

Kais Ismail Ibraheem · University of Mosul, College of Education for Pure Science · 2006

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Author / responsible party
Kais Ismail Ibraheem
Publisher
University of Mosul, College of Education for Pure Science
Year
2006
ISSN
1812-125X
ISSN
1812-125X
Language
English
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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

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APA 7

Ibraheem, K. I. (2006). Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation. https://doi.org/10.33899/edusj.2006.79222

MLA

Ibraheem, Kais Ismail. "Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation." 2006. https://doi.org/10.33899/edusj.2006.79222.

Chicago

Ibraheem, Kais Ismail. 2006. "Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation.". https://doi.org/10.33899/edusj.2006.79222.

Harvard

Ibraheem, K. I. 2006, Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation, University of Mosul, College of Education for Pure Science, available at: https://doi.org/10.33899/edusj.2006.79222 [Accessed 6 Aug. 2026].

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Title
Method of Lines With Haar Wavelet For Solving Parabolic Differential Equation
Author / contributors
Kais Ismail Ibraheem
Publisher
University of Mosul, College of Education for Pure Science
Publication year
2006
ISSN
1812-125X
ISSN
1812-125X
Language
English

Subjects

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haar wavelet; solving parabolic differential equation; wavelet-based algorithm
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