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- Title
NUMERICAL ANALYSIS OF SOME FRACTIONAL ORDER DIFFERENTIAL EQUATIONS VIA LEGENDRE SPECTRAL METHOD.
- Authors
KHAN, AZIZ; NAZ, HAFSA; SARWAR, MUHAMMAD; SHAH, KAMAL; ALQUDAH, MANAR A.; ABDELJAWAD, THABET
- Abstract
In this research paper, we find the numerical solutions of fractional order scalers and coupled system of differential equations under initial conditions using shifted Legendre polynomials. By using the properties of shifted Legendre polynomials, we establish operational matrices of integration and differentiation in order to simplify our considered problems under initial conditions. In order to check the accuracy of the proposed model, some test problems are solved along with the graphical representations. For coupled system, we applied the algorithm to the Pharmacokinetic two-compartment model. As the proposed method is computer-oriented, we use therefore the MATLAB for required calculations. Numerical results are shown graphically.
- Subjects
NUMERICAL analysis; DIFFERENTIAL equations; PHARMACOKINETICS
- Publication
Fractals, 2023, Vol 31, Issue 2, p1
- ISSN
0218-348X
- Publication type
Article
- DOI
10.1142/S0218348X23400364