International Journal of Mathematics and Mathematical Sciences 
Volume 15 (1992), Issue 4, Pages 663-672
doi:10.1155/S0161171292000887

Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations

Lucas Jódar

 Departamento de Matemática Aplicada, Universidad Politécnica, P.O.Box 22.012, Valencia 46071, Spain
Received 2 July 1991; Revised 17 October 1991

Abstract

In this paper coupled implicit initial-boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data.