Construction of polynomial solutions to some boundary value problems for Poisson’s equation

2011 ◽  
Vol 51 (9) ◽  
pp. 1567-1587 ◽  
Author(s):  
V. V. Karachik
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Poisson’S Equation ◽  
Poisson's Equation ◽  
Polynomial Solutions

scholarly journals Hermite interpolation visits ordinary two-point boundary value problems

2007 ◽  
Vol 48 (4) ◽  
pp. 533-552 ◽  
Author(s):  
R. E. Grundy
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Nonlinear Equations ◽  
Hermite Interpolation ◽  
Boundary Value ◽  
Point Boundary ◽  
Polynomial Solutions ◽  
Conventional Methods

AbstractThis paper is concerned with constructing polynomial solutions to ordinary boundary value problems. A semi-analytic technique using two-point Hermite interpolation is compared with conventional methods via a series of examples and is shown to be generally superior, particularly for problems involving nonlinear equations and/or boundary conditions.

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