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• W2149057310 abstract "In this paper, a collocation method is presented for the solutions of the system of the Riccati-type differential equations with variable coefficients. The proposed approach consists of reducing the problem to a nonlinear algebraic equation system by expanding the approximate solutions in terms of the Bessel polynomials with unknown coefficients. The unknown coefficients of the Bessel polynomials are found by using the matrix operations of derivatives together with the collocation method. The proposed method gives the analytic solutions when the exact solutions are polynomials. Also, an error analysis technique based on the residual function is introduced for the suggested method. The reliability and efficiency of the proposed scheme are demonstrated by some numerical examples. Comparing the methodology with some known techniques shows that the presented approach is relatively easy and highly accurate. All of the numerical calculations have been done by using a program written in Maple." @default.
• W2149057310 created "2016-06-24" @default.
• W2149057310 creator A5087460746 @default.
• W2149057310 date "2012-11-01" @default.
• W2149057310 modified "2023-09-23" @default.
• W2149057310 title "A collocation approach to solve the Riccati-type differential equation systems" @default.
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• W2149057310 doi "https://doi.org/10.1080/00207160.2012.703777" @default.
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