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• W2562036633 abstract "We present a numerical algorithm for solving nonlinear fractional boundary value problems of order n, n N. The Bernstein polynomials (BPs) are redefined in a fractional form over an arbitrary interval [a, b]. Theoretical results related to the ractional Bernstein polynomials (FBPs) are proven. The well-known shooting technique is extended for the numerical treatment of nonlinear fractional boundary value problems of arbitrary order. The initial value problems were solved using a collocation method with collocation points at the location of the local maximum of the FBPs. Several examples are discussed to illustrate the efficiency and accuracy of the present scheme." @default.
• W2562036633 created "2017-01-06" @default.
• W2562036633 creator A5080690488 @default.
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• W2562036633 date "2015-12-01" @default.
• W2562036633 modified "2023-10-14" @default.
• W2562036633 title "A Convergent Algorithm for Solving Higher-Order Nonlinear Fractional Boundary Value Problems" @default.
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• W2562036633 doi "https://doi.org/10.1515/fca-2015-0082" @default.
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