A recursive construction of particular solutions to a system of coupled linear partial differential equations with polynomial source term

If a system of coupled linear partial differential equations (PDEs) L·u = f in a compact simply connected region D of an n-dimensional space (e.g., n = 3) has a nonhomogeneous part f that is a vector of polynomials or can be approximated by a vector of polynomials, a particular solution can be writt...

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Veröffentlicht in:	Journal of computational and applied mathematics 1996-05, Vol.69 (2), p.319-329
Hauptverfasser:	Matthys, Lieven, Lambert, Hendrik, De Mey, Gilbert
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equation Partial differential equations Partial differential equations, boundary value problems Particular solution Polynomial approximation Recursion Sciences and techniques of general use
Online-Zugang:	Volltext
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