Computing accurate solution for coupled systems of second order partial differential equations. II. (English) Zbl 0813.65114
Summary: [For part I see ibid. 37, No. 3-4, 201-212 (1990; Zbl 0736.35052).]
An infinite series solution for solving nonhomogeneous coupled systems of second order partial differential equations is proposed. Given a finite domain and an admissible error \(\varepsilon\) we construct an analytical approximate solution whose error is uniformly bounded by \(\varepsilon\) in the given domain.
An infinite series solution for solving nonhomogeneous coupled systems of second order partial differential equations is proposed. Given a finite domain and an admissible error \(\varepsilon\) we construct an analytical approximate solution whose error is uniformly bounded by \(\varepsilon\) in the given domain.
MSC:
65M70 | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs |
65M15 | Error bounds for initial value and initial-boundary value problems involving PDEs |
35K15 | Initial value problems for second-order parabolic equations |
35K45 | Initial value problems for second-order parabolic systems |
35C10 | Series solutions to PDEs |
Keywords:
error bound; coupled partial differential system; initial-boundary value problem; truncation; upper error bound; accuracy; analytical approximate solutionCitations:
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