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Some Numerical Methods For Solving Fractional Parabolic Partial Differential Equations | ||
| Engineering and Technology Journal | ||
| Article 1, Volume 28, Issue 12, 2010, Pages 2480-2485 PDF (148.92 K) | ||
| DOI: 10.30684/etj.28.12.17 | ||
| Authors | ||
| Akram A. Al-Sabbagh; Ibtisam K.Hanan; Osama H.Mohammed | ||
| Abstract | ||
| The aim of this paper isto approximate the solution offractional parabolicpartial differential equations using two numerical methods which are Bellman's method (make use of Lagrange interpolation formula) and the method of lines. Fractional Parabolic partial differential equations are transformed to a system of first order ordinary differential equations that are solved using a Runge- Kutta method. An illustrative example using thesemethodsare also presented and compared with the exact solution. | ||
| Keywords | ||
| Bellman; Method of lines; Runge; Kutta Methods | ||
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