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Numerical Solution of Fractional Bratu’s Initial Value Problem Using Compact Finite Difference Scheme |
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PP: 103-115 |
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doi:10.18576/pfda/070205
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Author(s) |
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Raziyeh Gharechahi,
Maryam Arabameri,
Morteza Bisheh-Niasar,
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Abstract |
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| In this paper, we consider initial value problem of Bratu-type equations of fractional order 1 < α ≤ 2. Compact finite difference schemes corresponding to α = 2 and 1 < α < 2 are proposed. Also, convergence analysis of the methods are discussed separately. Some examples are also presented to show the efficiency of the methods.
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