Numerical solutions to initial and boundary value problems for linear fractional partial differential equations |
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| Authors: | Mujeeb ur Rehman Rahmat Ali Khan |
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| Affiliation: | 1. Centre for Advanced Mathematics and Physics, National University of Sciences and Technology, Sector H-12 Islamabad, Pakistan;2. University of Malakand Chakdara Dir(L), Khyber Pakhtoonkhwa, Pakistan |
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| Abstract: | In this article, Haar wavelets have been employed to obtain solutions of boundary value problems for linear fractional partial differential equations. The differential equations are reduced to Sylvester matrix equations. The algorithm is novel in the sense that it effectively incorporates the aperiodic boundary conditions. Several examples with numerical simulations are provided to illustrate the simplicity and effectiveness of the method. |
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| Keywords: | Fractional differential equations Wavelet analysis Caputo derivative Operational matrix |
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