Double chebyshev solution of eigenvalue problems for partial differential equations

Particular spectral method based on an expansion in double Chebyshev polynomials is proposed to solve a number of eigenvalue problems defined by partial differential equations with constant and variable coefficients. We obtain comparable results with those computed by Liu and Ortiz [3] by using Tau-...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:International journal of computer mathematics Ročník 54; číslo 3-4; s. 197 - 206
Hlavní autor: El-Hawary, H. M.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Gordon and Breach Science Publishers S.A 01.01.1994
Témata:
Chebyshev approximation
eigenvalue problem
G.1.2
G.1.8
partial differential equations
ISSN:0020-7160, 1029-0265
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Abstract Particular spectral method based on an expansion in double Chebyshev polynomials is proposed to solve a number of eigenvalue problems defined by partial differential equations with constant and variable coefficients. We obtain comparable results with those computed by Liu and Ortiz [3] by using Tau-Lines method and El-Hawary [4] by using El-Gendi-Lines method and Brandt et al. [5] by using multigrid methods.
AbstractList Particular spectral method based on an expansion in double Chebyshev polynomials is proposed to solve a number of eigenvalue problems defined by partial differential equations with constant and variable coefficients. We obtain comparable results with those computed by Liu and Ortiz [3] by using Tau-Lines method and El-Hawary [4] by using El-Gendi-Lines method and Brandt et al. [5] by using multigrid methods.
Author El-Hawary, H. M.
Author_xml – sequence: 1
  givenname: H. M.
  surname: El-Hawary
  fullname: El-Hawary, H. M.
  organization: Department of Mathematics, Faculty of Science , Assuit University
BookMark eNp9kMtOwzAQRS1UJNrCB7DzDwTGSZzGEhtUnlIlFsA6msRjauTGxU6K-vekLSsQrEZXc89odCZs1PqWGDsXcCGghEuAFGaiUDmUJeSZFEdsLCBVCaSFHLHxbp8MBThhkxjfAaBUs2LMnm98XzvizZLqbVzShkfv-s76lnvDyb5Ru0HXE18HP_RWkRsf-BpDZ9FxbY2hQO0-0EePOzCesmODLtLZ95yy17vbl_lDsni6f5xfL5ImVUWXIOlCGllTrvJaIKQyLRtd5xoRSKNoDEpZ5lKANJgKVejSCFTK5LMMtKqzKZsd7jbBxxjIVI3t9i90Aa2rBFQ7N9UvNwMpfpDrYFcYtv8yVwfGtoOCFX764HTV4db5YAK2jY1V9jf-BW6ufG0
CitedBy_id crossref_primary_10_1080_00207160108805111
Cites_doi 10.1093/imamat/16.3.283
10.1137/0904019
10.1093/comjnl/12.3.282
10.1016/0898-1221(86)90239-7
ContentType Journal Article
Copyright Copyright Taylor & Francis Group, LLC 1994
Copyright_xml – notice: Copyright Taylor & Francis Group, LLC 1994
DBID AAYXX
CITATION
DOI 10.1080/00207169408804351
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Computer Science
EISSN 1029-0265
EndPage 206
ExternalDocumentID 10_1080_00207169408804351
8804351
GroupedDBID -~X
07G
0R~
1TA
4.4
5GY
5VS
AAIKQ
AAKBW
ABJNI
ABUFD
ACGEE
ACGEJ
ACGFS
ACGOD
ACIWK
ACNCT
ADCVX
ADXPE
AENEX
AEPSL
AEUMN
AEYOC
AGLEN
AI.
ALMA_UNASSIGNED_HOLDINGS
AMVHM
AMXXU
AQTUD
AWYRJ
BCCOT
BPLKW
C06
CS3
DU5
DWIFK
EBS
EJD
H13
HZ~
IVXBP
NA5
NUSFT
NY~
O9-
P2P
PQQKQ
TAQ
TDBHL
TFL
TFMCV
TFW
TN5
TOXWX
UB9
UPT
UU8
V3K
V4Q
VH1
WH7
.4S
.7F
.DC
.QJ
0BK
29J
30N
AAENE
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
AAYJJ
AAYXX
ABCCY
ABDBF
ABEFU
ABFIM
ABHAV
ABLIJ
ABPAQ
ABPEM
ABTAI
ABXUL
ABXYU
ACAGQ
ACTCW
ACTIO
ACUHS
ADGTB
AEISY
AEOZL
AFFNX
AFKVX
AFRVT
AGCQS
AGDLA
AGMYJ
AGROQ
AHDZW
AHMOU
AIJEM
AIYEW
AJWEG
AKBVH
AKOOK
ALCKM
ALQZU
AMEWO
AQRUH
ARCSS
AVBZW
BLEHA
CAG
CCCUG
CE4
CITATION
COF
CRFIH
DGEBU
DKSSO
DMQIW
EAP
EDO
EMK
EPL
EST
ESX
E~A
E~B
GTTXZ
HF~
H~9
H~P
IPNFZ
J.P
KYCEM
LJTGL
M4Z
MK~
QCRFL
RIG
RNANH
ROSJB
RTWRZ
S-T
SNACF
TASJS
TBQAZ
TEJ
TFT
TTHFI
TUROJ
TUS
TWF
UT5
UU3
ZGOLN
ZY4
~S~
ID FETCH-LOGICAL-c296t-aed65f5be494b1a02528cdb4daa0eda1cfa55845105fa2196d8f1a99f4730d9b3
IEDL.DBID TFW
ISICitedReferencesCount 1
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=10_1080_00207169408804351&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0020-7160
IngestDate Tue Nov 18 22:13:44 EST 2025
Sat Nov 29 02:21:24 EST 2025
Mon Oct 20 23:31:11 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 3-4
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c296t-aed65f5be494b1a02528cdb4daa0eda1cfa55845105fa2196d8f1a99f4730d9b3
PageCount 10
ParticipantIDs crossref_citationtrail_10_1080_00207169408804351
informaworld_taylorfrancis_310_1080_00207169408804351
crossref_primary_10_1080_00207169408804351
PublicationCentury 1900
PublicationDate 1/1/1994
1994-01-00
PublicationDateYYYYMMDD 1994-01-01
PublicationDate_xml – month: 01
  year: 1994
  text: 1/1/1994
  day: 01
PublicationDecade 1990
PublicationTitle International journal of computer mathematics
PublicationYear 1994
Publisher Gordon and Breach Science Publishers S.A
Publisher_xml – name: Gordon and Breach Science Publishers S.A
References Gendi S. E. (CIT0001) 1969; 12
CIT0003
CIT0002
CIT0005
CIT0006
Hawary H. M. (CIT0004) 1991; 4
References_xml – ident: CIT0002
  doi: 10.1093/imamat/16.3.283
– ident: CIT0005
  doi: 10.1137/0904019
– volume: 12
  start-page: 282
  year: 1969
  ident: CIT0001
  publication-title: Computer J
  doi: 10.1093/comjnl/12.3.282
– volume: 4
  start-page: 241
  year: 1991
  ident: CIT0004
  publication-title: Journal of Inst. Math. & Sci
– ident: CIT0006
– ident: CIT0003
  doi: 10.1016/0898-1221(86)90239-7
SSID ssj0008976
Score 1.3812748
Snippet Particular spectral method based on an expansion in double Chebyshev polynomials is proposed to solve a number of eigenvalue problems defined by partial...
SourceID crossref
informaworld
SourceType Enrichment Source
Index Database
Publisher
StartPage 197
SubjectTerms Chebyshev approximation
eigenvalue problem
G.1.2
G.1.8
partial differential equations
Title Double chebyshev solution of eigenvalue problems for partial differential equations
URI https://www.tandfonline.com/doi/abs/10.1080/00207169408804351
Volume 54
WOSCitedRecordID wos10_1080_00207169408804351&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAWR
  databaseName: Taylor & Francis Online Journals
  customDbUrl:
  eissn: 1029-0265
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0008976
  issn: 0020-7160
  databaseCode: TFW
  dateStart: 19640101
  isFulltext: true
  titleUrlDefault: https://www.tandfonline.com
  providerName: Taylor & Francis
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LSwMxEA5SPHixPrG-yMGTENhtso8cRSyeimDF3pY8QSht7a79_c7sZpdW1IMeFyYhZGcm32Rnv4-QG5NlUB0Lw3hqORQowjHNE84iCQkZAkzo1NRiE9l4nE-n8in05pShrRJraN8QRdS5GoNb6bLtiMM_uCMkeREQIREc91j8AKrHhr7J6LXLw7mspeXQmoF5903zuxm2TqUtztKN02bU_-c6D8h-gJn0rvGLQ7Lj5kek30o40BDRx-QZALSeOQqvDi-q3Zq2vkgXnjqk6kQ6cEeD8ExJYc10if4G07fqKvWDe29Yw8sT8jJ6mNw_sqCzwMxQphVTzqaJT7QTUuhYAQoa5sZqYZWKnFWx8SoBnIJQzCvIcKnNfayk9ALSg5Wan5LefDF3Z4TGmcu0G2YaKiWRWLBJLJY8SgCSSg0fkKjd58IEEnLUwpgVccdV-mXTBuS2G7JsGDh-M042X15R1dcevtEoKfiP487_OO6C7DXkyngnc0l61erDXZFds67eytV17Y-fLMTcWw
linkProvider Taylor & Francis
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1bS8MwFD7IFPTFecV5zYNPQqFdk7Z5FHFMnENw4t5KriDINte63-9Jb2yiPuhj4SSE5NybfB_ApYpjrI6p8sJIh1igUOPJkIWez9Eho4FRGamCbCIeDpPxmD9WDbesulbpamhbAkUUvtoZt2tG11fi3BNu36G8UDQRH-M9Vj_rBTMd6vOo99J44oQX5HJO3EP55q_md1OsxKUV1NKleNNr_3elO7BdZZrkulSNXVgzkz1o1ywOpDLqfXjCHFq-GYKn53rVZkFqdSRTS4xD63SI4IZU3DMZwUWTmVM5nL4mWCk-zHsJHJ4dwHPvdnTT9yqqBU91eZR7wuiIWSYN5VQGAhOhbqK0pFoI32gRKCsYpiouG7MCnVykExsIzi1FD6G5DA-hNZlOzBGQIDaxNN1YYrFEmUYZpl3VIygmU5EKO-DXG52qCofc0WG8pUEDV_pl0zpw1QyZlSAcvwmz5dNL86LzYUuakjT8cdzxH8ddwGZ_9DBIB3fD-xPYKrGWXYvmFFr5_MOcwYZa5K_Z_LxQzk8izeCA
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LSwMxEB6kinixPrE-c_AkLOx2s48cRV0UZSlYsbclTxBKW7trf7-TfdGKetDjwiSEZGbyTTb5PoBLGUVYHVPp-KHysUCh2hF-4Dsuw4SMAUZFKEuxiShN49GIDeq7OXl9rdLW0KYiiihztQ3umTLNjTj7gtu1JC8UI8TF7R6Ln3WEzaGNy2Hy2ibimJXactbcQfv2p-Z3XaxsSyukpUvbTdL950B3YLvGmeS6coxdWNOTPeg2Gg6kDul9eEYELcaa4NrZk2q9II0zkqkh2nJ1Wj5wTWrlmZzgmMnMOhx238irlB_6vaINzw_gJbkb3tw7tdCCI_ssLByuVRiYQGjKqPA4wqB-LJWginNXK-5JwwMEKhaLGY4pLlSx8ThjhmJ-UEz4h9CZTCf6CIgX6UjofiSwVKKBQptA2ZqHU4RSofR74DbznMmahdyKYYwzryUr_TJpPbhqm8wqCo7fjIPlxcuK8tzDVCIlmf9ju-M_truAzcFtkj09pI8nsFURLdvzmVPoFPMPfQYbclG85fPz0jU_AXxa3yk
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Double+chebyshev+solution+of+eigenvalue+problems+for+partial+differential+equations&rft.jtitle=International+journal+of+computer+mathematics&rft.au=El-Hawary%2C+H.+M.&rft.date=1994-01-01&rft.issn=0020-7160&rft.eissn=1029-0265&rft.volume=54&rft.issue=3-4&rft.spage=197&rft.epage=206&rft_id=info:doi/10.1080%2F00207169408804351&rft.externalDBID=n%2Fa&rft.externalDocID=10_1080_00207169408804351
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0020-7160&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0020-7160&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0020-7160&client=summon