Fractional Group Iterative Methods For Two Dimensional Time-Fractional Differential Equations

dc.contributor.authorBalasim, Alla Tareq
dc.date.accessioned2020-11-25T02:07:54Z
dc.date.available2020-11-25T02:07:54Z
dc.date.issued2017-11
dc.description.abstractFractional partial differential equations (FPDEs) are highly effective and powerful tools for modeling problems in engineering, physics, and other fields because of their non-local properties. Most FPDEs can not solved analytically. Therefore, developing accurate, efficient, stable, and easy-to-implement methods is an important task. To date, ample numerical methods have been proposed for solving the time and/or space FPDEs, such as the finite difference and finite element methods. A large and sparse system of linear equations will arise when FPDEs are discretised using certain discretisation schemes based on finite element or finite difference methods which requires a considerable amount of execution time since earlier solutions have to be saved if the current solution is to be computed. This thesis focuses on the development of new, accurate, efficient, and fast numerical methods for solving FPDEs.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/10733
dc.language.isoenen_US
dc.publisherUniversiti Sains Malaysiaen_US
dc.subjectFractional Group Iterative Methodsen_US
dc.subjectTwo Dimensional Time-Fractional Differential Equationsen_US
dc.titleFractional Group Iterative Methods For Two Dimensional Time-Fractional Differential Equationsen_US
dc.typeThesisen_US
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