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    ARTICLE

    Residual Correction Procedure with Bernstein Polynomials for Solving Important Systems of Ordinary Differential Equations

    M. H. T. Alshbool1, W. Shatanawi2, 3, 4, *, I. Hashim5, M. Sarr1

    CMC-Computers, Materials & Continua, Vol.64, No.1, pp. 63-80, 2020, DOI:10.32604/cmc.2020.09431 - 20 May 2020

    Abstract One of the most attractive subjects in applied sciences is to obtain exact or approximate solutions for different types of linear and nonlinear systems. Systems of ordinary differential equations like systems of second-order boundary value problems (BVPs), Brusselator system and stiff system are significant in science and engineering. One of the most challenge problems in applied science is to construct methods to approximate solutions of such systems of differential equations which pose great challenges for numerical simulations. Bernstein polynomials method with residual correction procedure is used to treat those challenges. The aim of this paper… More >

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