Two-dimensional Haar Wavelet Method for Numerical Solution of Delay Partial Differential Equations

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dc.contributor.authorRohul Amin
dc.contributor.authorNichaphat Patanarapeelert
dc.contributor.authorMuhammad Awais Barkat
dc.contributor.authorIbrahim Mahariq
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceT. Sitthiwirattham; Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, Thailand; email: thanin-sit@dusit.ac.th
dc.date.accessioned2025-03-10T07:35:06Z
dc.date.available2025-03-10T07:35:06Z
dc.date.issued2022
dc.description.abstractIn this paper, a two-dimensional Haar wavelet collocation method is applied to obtain the numerical solution of delay and neutral delay partial differential equations. Both linear and nonlinear problems can be solved using this method. Some benchmark test problems are given to verify the efficiency and accuracy of the aforesaid method. The results are compared with the exact solution and performance of the two-dimensional Haar collocation technique is measured by calculating the maximum absolute and root mean square errors for different numbers of grid points. The results are also compared with finite difference technique and one-dimensional Haar wavelet technique. The numerical results show that the two-dimensional Haar method is simply applicable, accurate and efficient. © 2022 Rohul Amin et al.
dc.identifier.citationJournal of Function Spaces
dc.identifier.doi10.1155/2022/7519002
dc.identifier.issn23148896
dc.identifier.scopus2-s2.0-85132439231
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4650
dc.languageEnglish
dc.publisherHindawi Limited
dc.rightsAll Open Access; Gold Open Access
dc.rights.holderScopus
dc.titleTwo-dimensional Haar Wavelet Method for Numerical Solution of Delay Partial Differential Equations
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85132439231&doi=10.1155%2f2022%2f7519002&partnerID=40&md5=99325e635e132a7210a66a320f64f8ce
oaire.citation.volume2022
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