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Taylor Series Method with Numerical Derivatives forNumerical Solution of ODE Initial value ProblemsE. MileticsG. Moln arkaDepartment of Mathematics, Sz echenyi Istv an University, Gy ISSN 1418-7108:HEJ Manuscript no.: ANM-030110-BAbstractThe Taylor Series Method is one of the earliest analytic-numeric algorithms forapproximate solution of initial value problems for ordinary differential this algorithm is not applied frequently. This is because when one solvessystems of ordinary differential equations, calculating the higher order derivativesformally is an over-elaborate task, this is true even if one uses the computer algebraicsystems such as MATHEMATICA or MAPLEV.
Taylor Series Method with Numerical Derivatives for Numerical Solution of ODE Initial Value Problems E. Miletics G. Moln´arka Department of Mathematics, Sz´echenyi Istv´an University, Gy˝or
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Elementary Differential Equations, Value Problems, For Linear Systems of Differential, For Linear Systems of Differential Equations, Linear systems of differential equations, NUMERICAL METHODS FOR DIFFERENTIAL EQUATIONS, Equations, Systems, SYSTEMS OF LINEAR EQUATIONS AND, Systems of Equations, Problems and Solutions for Ordinary Di ferential, Problems and Solutions for Ordinary Di ferential Equations, Differential Equations I, DIFFERENTIAL EQUATIONS, Numerical