New Iterative Schemes In The Numerical Solution Of Two-Dimensional Time-Fractional Hyperbolic Partial Differentail Equations
| dc.contributor.author | Ali, Ajmal | |
| dc.date.accessioned | 2022-09-20T07:00:06Z | |
| dc.date.available | 2022-09-20T07:00:06Z | |
| dc.date.issued | 2020-07 | |
| dc.description.abstract | 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 hô€€€2=2 or hô€€€2=4 (dependingonthemethodused)iterativepointsofthespatialdomain. | en_US |
| dc.identifier.uri | http://hdl.handle.net/123456789/16125 | |
| dc.language.iso | en | en_US |
| dc.publisher | Universiti Sains malaysia | en_US |
| dc.subject | Numerical Solution | en_US |
| dc.subject | Two-Dimensional Time | en_US |
| dc.title | New Iterative Schemes In The Numerical Solution Of Two-Dimensional Time-Fractional Hyperbolic Partial Differentail Equations | en_US |
| dc.type | Other | en_US |
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