Frobenius-Chebyshev polynomial approximations with a priori error bounds for nonlinear initial value differential problems |
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Affiliation: | Department of Mathematics, University of Wyoming Laramie, WY 82071-3036, U.S.A.;Departamento de Matemática Aplicada Universidad Politécnica de Valencia Valencia 46071, Spain |
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Abstract: | In this paper, we present a method for approximating the solution of initial value ordinary differential equations with a priori error bounds. The method is based on a Chebyshev perturbation of the original differential equation together with the Frobenius method for solving the equation. Chebyshev polynomials in two variables are developed. Numerical results are presented. |
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