New Iterative Schemes In The Numerical Solution Of Two-Dimensional Time-Fractional Hyperbolic Partial Differentail Equations

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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Main Author: Ali, Ajmal
Format: Thesis
Language:English
Published: 2020
Subjects:
QA1 Mathematics (General)
Online Access:http://eprints.usm.my/54826/1/AJMAL%20ALI%20-%20TESIS%20cut.pdf
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spelling 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
institution Universiti Sains Malaysia
collection USM Institutional Repository
language English
topic QA1 Mathematics (General)
spellingShingle 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

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