Anya, Okeke Anthony (2025) Numerical Approximations Of Time-Fractional Partial Differential Equations Based On B-Splines Collocation Methods. PhD thesis, Universiti Sains Malaysia.
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Abstract
Recently, there has been an upsurge in the study of fractional partial differential equations (FPDEs). This is because FPDEs have numerous applications in engineering and science owing to their non-local properties. For instance, FPDEs have been employed to solve problems in the fields of physics, chemistry, biology, biochemistry, medicine, electron transportation, financial data, groundwater flow, and geo-hydrology. FPDEs are the generalizations of traditional partial differential equations. Exact analytical solutions for FPDEs are generally undetermined owing to their complicated nature. Thus, there is intense motivation to explore possibilities for developing efficient and reliable approximate analytical and numerical methods for solving FPDEs. This study focused on the development of efficient approximate numerical methods.
| Item Type: | Thesis (PhD) |
|---|---|
| Subjects: | Q Science > QA Mathematics > QA1-939 Mathematics |
| Divisions: | Pusat Pengajian Sains Matematik (School of Mathematical Sciences) > Thesis |
| Depositing User: | Mr Aizat Asmawi Abdul Rahim |
| Date Deposited: | 13 Aug 2026 07:58 |
| Last Modified: | 13 Aug 2026 07:58 |
| URI: | http://eprints.usm.my/id/eprint/64768 |
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