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Numerical methods and asymptotic error expansions for the Emden-Fowler equations
Authors:Pedro M Lima
Institution:

Departamento de Matemática, Instituto Superior Técnico, Avenida Rovisco Pais, 1096, Lisboa Codex, Portugal

Abstract:In the present paper we analyse a numerical method for computing the solution of some boundary-value problems for the Emden-Fowler equations. The differential equations are discretized by a finite-difference method and we derive asymptotic expansions for the discretization error. Based on these asymptotic expansions, we use an extrapolation algorithm to accelerate the convergence of the numerical method.
Keywords:Boundary-value problem  Finite-difference method  Asymptotic error expansion  Extrapolation method
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