Polynomial approximate solutions with a priori error bounds of first-order quasi-linear initial-value partial differential problems

Authors:
L. Jódar;M. D. Roselló
Affiliations:
Departamento de Matemática Aplicada Universidad Politécnica de Valencia, Valencia, Spain;Departamento de Matemática Aplicada Universidad Politécnica de Valencia, Valencia, Spain
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2001

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Abstract

In this paper, we construct polynomial approximate solutions with a priori error bounds of first-order quasi-linear initial-value partial differential problems with analytic Cauchy data. After constructing a power series solution, this is appropriately truncated according with a prefixed accuracy.