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...
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my-usm-ep.548262022-09-20T07:00:59Z New Iterative Schemes In The Numerical Solution Of Two-Dimensional Time-Fractional Hyperbolic Partial Differentail Equations 2020-07 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 http://eprints.usm.my/54826/ http://eprints.usm.my/54826/1/AJMAL%20ALI%20-%20TESIS%20cut.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik |
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QA1 Mathematics (General) Ali, Ajmal New Iterative Schemes In The Numerical Solution Of Two-Dimensional Time-Fractional Hyperbolic Partial Differentail Equations |
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 |
format |
Thesis |
qualification_name |
Doctor of Philosophy (PhD.) |
qualification_level |
Doctorate |
author |
Ali, Ajmal |
author_facet |
Ali, Ajmal |
author_sort |
Ali, Ajmal |
title |
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_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_sort |
new iterative schemes in the numerical solution of two-dimensional time-fractional hyperbolic partial differentail equations |
granting_institution |
Universiti Sains Malaysia |
granting_department |
Pusat Pengajian Sains Matematik |
publishDate |
2020 |
url |
http://eprints.usm.my/54826/1/AJMAL%20ALI%20-%20TESIS%20cut.pdf |
_version_ |
1747822295628382208 |