New Iterative Schemes In The Numerical Solution Of Two-Dimensional Time-Fractional Hyperbolic Partial Differentail Equations
In literature,numericalschemessuchasfinitedifferencemethod,finiteelement method, finitevolumemethod,boundaryelementmethodandspectralmethodshave been utilizedforthediscretizationofmanytypesofFractionalDifferentialEquations (FDEs). SuchtypesofmethodsleadFDEsintoalargeandsparsesystemofsimul- taneou...
| Main Author: | |
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| Format: | Thesis |
| Language: | English |
| Published: |
2020
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| Subjects: | |
| Online Access: | http://eprints.usm.my/54826/ |
| Abstract | Abstract here |
| _version_ | 1855630161989337088 |
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| author | Ali, Ajmal |
| author_facet | Ali, Ajmal |
| author_sort | Ali, Ajmal |
| description | In literature,numericalschemessuchasfinitedifferencemethod,finiteelement
method, finitevolumemethod,boundaryelementmethodandspectralmethodshave
been utilizedforthediscretizationofmanytypesofFractionalDifferentialEquations
(FDEs). SuchtypesofmethodsleadFDEsintoalargeandsparsesystemofsimul-
taneous linearequationswhichcanbesolvedbyiterativemethodsthatarebasedon
the point-orientediterationschemesonthewholediscretizationdomain Wh, where h is
the gridspacinginboth x and y directions. Inallsuchtypeofiterativemethods,large
arithmetical operationsarerequiredforconvergence,becausepreviousvalueshaveto
be storediftherecentvalueistobecalculated.Overthepastdecades,manyschol-
ars andresearchershaveestablishednumerousproficientfastalgorithmstoreducethe
computation cost.Theincreasingdemandforadvancedresolutionsimulationsinless
computer timehavecontinuouslychallengedtheresearcherstocomeupwithmore
effective,well-organizedandfastcomputationalalgorithmsinsolvingtheFDEs.One
of thewaystoachievefasterconvergenceisbytheutilizationofgroupiterativemeth-
ods whicharebasedongroup-orientediterationschemesthatutilizelessthan h |
| first_indexed | 2025-10-17T08:41:31Z |
| format | Thesis |
| id | usm-54826 |
| institution | Universiti Sains Malaysia |
| language | English |
| last_indexed | 2025-10-17T08:41:31Z |
| publishDate | 2020 |
| record_format | EPrints |
| record_pdf | Restricted |
| spelling | usm-548262022-09-20T07:00:59Z http://eprints.usm.my/54826/ New Iterative Schemes In The Numerical Solution Of Two-Dimensional Time-Fractional Hyperbolic Partial Differentail Equations Ali, Ajmal QA1 Mathematics (General) In literature,numericalschemessuchasfinitedifferencemethod,finiteelement method, finitevolumemethod,boundaryelementmethodandspectralmethodshave been utilizedforthediscretizationofmanytypesofFractionalDifferentialEquations (FDEs). SuchtypesofmethodsleadFDEsintoalargeandsparsesystemofsimul- taneous linearequationswhichcanbesolvedbyiterativemethodsthatarebasedon the point-orientediterationschemesonthewholediscretizationdomain Wh, where h is the gridspacinginboth x and y directions. Inallsuchtypeofiterativemethods,large arithmetical operationsarerequiredforconvergence,becausepreviousvalueshaveto be storediftherecentvalueistobecalculated.Overthepastdecades,manyschol- ars andresearchershaveestablishednumerousproficientfastalgorithmstoreducethe computation cost.Theincreasingdemandforadvancedresolutionsimulationsinless computer timehavecontinuouslychallengedtheresearcherstocomeupwithmore effective,well-organizedandfastcomputationalalgorithmsinsolvingtheFDEs.One of thewaystoachievefasterconvergenceisbytheutilizationofgroupiterativemeth- ods whicharebasedongroup-orientediterationschemesthatutilizelessthan h 2020-07 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/54826/1/AJMAL%20ALI%20-%20TESIS%20cut.pdf Ali, Ajmal (2020) New Iterative Schemes In The Numerical Solution Of Two-Dimensional Time-Fractional Hyperbolic Partial Differentail Equations. PhD thesis, Universiti Sains Malaysia. |
| spellingShingle | QA1 Mathematics (General) Ali, Ajmal New Iterative Schemes In The Numerical Solution Of Two-Dimensional Time-Fractional Hyperbolic Partial Differentail Equations |
| thesis_level | PhD |
| title | New Iterative Schemes In The Numerical Solution Of Two-Dimensional Time-Fractional Hyperbolic Partial Differentail Equations |
| title_full | New Iterative Schemes In The Numerical Solution Of Two-Dimensional Time-Fractional Hyperbolic Partial Differentail Equations |
| title_fullStr | New Iterative Schemes In The Numerical Solution Of Two-Dimensional Time-Fractional Hyperbolic Partial Differentail Equations |
| title_full_unstemmed | New Iterative Schemes In The Numerical Solution Of Two-Dimensional Time-Fractional Hyperbolic Partial Differentail Equations |
| title_short | New Iterative Schemes In The Numerical Solution Of Two-Dimensional Time-Fractional Hyperbolic Partial Differentail Equations |
| title_sort | new iterative schemes in the numerical solution of two dimensional time fractional hyperbolic partial differentail equations |
| topic | QA1 Mathematics (General) |
| url | http://eprints.usm.my/54826/ |
| work_keys_str_mv | AT aliajmal newiterativeschemesinthenumericalsolutionoftwodimensionaltimefractionalhyperbolicpartialdifferentailequations |