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Accurate numerical approximations for solving non linear fractional order boundary value problems are presented in this paper. To accomplish this goal, first- and second-order derivatives involved in the developed scheme are approximated by central finite difference scheme of
order four. Whereas, integrals in this work are approximated by the composite Simpson’s rule in the Caputo’s definition. The performance of the
proposed iterative scheme is demonstrated by solving nonlinear fractional
order boundary value problems of order 0 < α < 1.
Muhammad Adnan Anwar, Shafiq Ur Rehman, Fayyaz Ahmad, Muhammad Irfan Qadir. (2019) A Numerical Iterative Scheme for Solving Nonlinear Boundary Value Problems of Fractional Order 0 < α < 1, Punjab University Journal of Mathematics, Volume 51, Issue 1.
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