Presentation 2023-03-15
Numerical Analysis of Second Order Partial Differential Equations using Haar Wavelet Differential Operator Matrices
Hibiki Sano, Takumi Maegawa, Seiichiro Moro,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) In recent years, numerical methods of differential equations using wavelet transforms has attracted much attention. In such methods, the Haar wavelet transform has received particular attention. One method for solving partial differential equations using the Haar wavelet transform is to integrate the Haar wavelet matrix [6][14]. In this study, we propose a numerical method for solving second-order partial differential equations from a different approach of using the Haar wavelet differential operator matrix, and confirm the effectiveness and extensibility of this method.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) wavelet / Haar wavelet / numerical analysis / partial differential equations
Paper # MSS2022-67,NLP2022-112
Date of Issue 2023-03-08 (MSS, NLP)

Conference Information
Committee NLP / MSS
Conference Date 2023/3/15(3days)
Place (in Japanese) (See Japanese page)
Place (in English)
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Akio Tsuneda(Kumamoto Univ.) / Atsuo Ozaki(Osaka Inst. of Tech.)
Vice Chair Hiroyuki Torikai(Hosei Univ.) / Shingo Yamaguchi(Yamaguchi Univ.)
Secretary Hiroyuki Torikai(Sojo Univ.) / Shingo Yamaguchi(Gifu Univ.)
Assistant Yuichi Yokoi(Nagasaki Univ.) / Yoshikazu Yamanaka(Utsunomiya Univ.) / Masato Shirai(Shimane Univ.)

Paper Information
Registration To Technical Committee on Nonlinear Problems / Technical Committee on Mathematical Systems Science and its Applications
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Numerical Analysis of Second Order Partial Differential Equations using Haar Wavelet Differential Operator Matrices
Sub Title (in English)
Keyword(1) wavelet
Keyword(2) Haar wavelet
Keyword(3) numerical analysis
Keyword(4) partial differential equations
1st Author's Name Hibiki Sano
1st Author's Affiliation University of Fukui(Univ. Fukui)
2nd Author's Name Takumi Maegawa
2nd Author's Affiliation University of Fukui(Univ. Fukui)
3rd Author's Name Seiichiro Moro
3rd Author's Affiliation University of Fukui(Univ. Fukui)
Date 2023-03-15
Paper # MSS2022-67,NLP2022-112
Volume (vol) vol.122
Number (no) MSS-435,NLP-436
Page pp.pp.25-30(MSS), pp.25-30(NLP),
#Pages 6
Date of Issue 2023-03-08 (MSS, NLP)