Geodesic
Modified grid method for solving linear differential equation equipped with variable coefficients based on Taylor series
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 60-65

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The modified grid method for solving value boundary problems for the linear differential equations based on Taylor development is described. It was demonstrated that the accuracy of the proposed method is much greater than that of a classical grids method. The results of numerical experiments are quoted.
Keywords: ordinary differential equations, grid method, Taylor development, closeness, measure of inaccuracy. 
@article{VSGTU_2008_2_a6,
     author = {V. P. Radchenko and A. A. Usov},
     title = {Modified grid method for solving linear differential equation equipped with variable coefficients based on {Taylor} series},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {60--65},
     publisher = {mathdoc},
     number = {2},
     year = {2008},
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     url = {http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a6/}
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V. P. Radchenko; A. A. Usov. Modified grid method for solving linear differential equation equipped with variable coefficients based on Taylor series. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2008), pp. 60-65. http://geodesic.mathdoc.fr/item/VSGTU_2008_2_a6/