A convergence analysis of the numerical solution of boundary-value problems by using two-dimensional Haar wavelets

Narongpol Wichailukkana; Boriboon Novaprateep; Chaiwoot Boonyasiriwat

doi:10.2306/scienceasia1513-1874.2016.42.346

A convergence analysis of the numerical solution of boundary-value problems by using two-dimensional Haar wavelets

Narongpol Wichailukkana
, Boriboon Novaprateep
, Chaiwoot Boonyasiriwat

Mahidol University

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

This study provides an analysis of the convergence of the Haar wavelet-based method for solving two-dimensional boundary value problems. The convergence analysis shows that the approximation method is of order 2. The analytical results are validated via two numerical examples.

Original language	English
Pages (from-to)	346-355
Number of pages	10
Journal	ScienceAsia
Volume	42
Issue number	5
DOIs	https://doi.org/10.2306/scienceasia1513-1874.2016.42.346
Publication status	Published - Oct 2016
Externally published	Yes

Keywords

Error of approximation
Orthogonality
Partial differential equations
Riemann-Liouville integral

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10.2306/scienceasia1513-1874.2016.42.346

Cite this

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title = "A convergence analysis of the numerical solution of boundary-value problems by using two-dimensional Haar wavelets",

abstract = "This study provides an analysis of the convergence of the Haar wavelet-based method for solving two-dimensional boundary value problems. The convergence analysis shows that the approximation method is of order 2. The analytical results are validated via two numerical examples.",

keywords = "Error of approximation, Orthogonality, Partial differential equations, Riemann-Liouville integral",

author = "Narongpol Wichailukkana and Boriboon Novaprateep and Chaiwoot Boonyasiriwat",

year = "2016",

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doi = "10.2306/scienceasia1513-1874.2016.42.346",

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AU - Wichailukkana, Narongpol

AU - Novaprateep, Boriboon

AU - Boonyasiriwat, Chaiwoot

PY - 2016/10

Y1 - 2016/10

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AB - This study provides an analysis of the convergence of the Haar wavelet-based method for solving two-dimensional boundary value problems. The convergence analysis shows that the approximation method is of order 2. The analytical results are validated via two numerical examples.

KW - Error of approximation

KW - Orthogonality

KW - Partial differential equations

KW - Riemann-Liouville integral

UR - https://www.scopus.com/pages/publications/85016555807

U2 - 10.2306/scienceasia1513-1874.2016.42.346

DO - 10.2306/scienceasia1513-1874.2016.42.346

M3 - Article

AN - SCOPUS:85016555807

SN - 1513-1874

VL - 42

SP - 346

EP - 355

JO - ScienceAsia

JF - ScienceAsia

IS - 5

ER -

A convergence analysis of the numerical solution of boundary-value problems by using two-dimensional Haar wavelets

Abstract

Keywords

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