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.
Digital Object Identifier (DOI)
Gharechahi, Raziyeh; Arabameri, Maryam; and Bisheh-Niasar, Morteza
"Numerical Solution of Fractional Bratu’s Initial Value Problem Using Compact Finite Difference Scheme,"
Progress in Fractional Differentiation & Applications: Vol. 7:
2, Article 5.
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol7/iss2/5