Explicit finite difference methods for the delay pseudoparabolic equations.
Finite difference technique is applied to numerical solution of the initial-boundary value problem for the semilinear delay Sobolev or pseudoparabolic equation. By the method of integral identities two-level difference scheme is constructed. For the time integration the implicit rule is being used....
| Published in: | Scientific World Journal pp. 497393 - 497394 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Published: |
Wiley-Blackwell
2014
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| Online Access: | View this record in EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=ccm&AN=109665745&site=ehost-live header: @attributes: shortDbName: ccm uiTerm: 109665745 longDbName: CINAHL Complete uiTag: AN controlInfo: bkinfo: dissinfo: jinfo: jid: 1537744X 1BX5 jtl: Scientific World Journal issn: 1537744X maglogo: N pubinfo: dt: 2014 pid: 480 pub: Wiley-Blackwell place: Malden, Massachusetts artinfo: ui: 109665745 NLM24688392 2012531167 10.1155/2014/497393 NLM24688392 PMC3932269 109665745 ppf: 497393 ppct: 1 formats: tig: atl: Explicit finite difference methods for the delay pseudoparabolic equations. aug: au: Amirali, I Amiraliyev, G M Cakir, M Cimen, E sug: ab: Finite difference technique is applied to numerical solution of the initial-boundary value problem for the semilinear delay Sobolev or pseudoparabolic equation. By the method of integral identities two-level difference scheme is constructed. For the time integration the implicit rule is being used. Based on the method of energy estimates the fully discrete scheme is shown to be absolutely stable and convergent of order two in space and of order one in time. The error estimates are obtained in the discrete norm. Some numerical results confirming the expected behavior of the method are shown. pubtype: Academic Journal doctype: Journal Article ougenre: Article language: English refInfo: holdings: @attributes: islocal: N |
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