Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633758 | Applied Mathematics and Computation | 2009 | 9 Pages |
Abstract
We consider second-order linear differential equations in a real interval I with mixed Dirichlet and Neumann boundary data. We consider a representation of its solution by a multi-point Taylor expansion. The number and location of the base points of that expansion are conveniently chosen to guarantee that the expansion is uniformly convergent ∀x∈I∀x∈I. We propose several algorithms to approximate the multi-point Taylor polynomials of the solution based on the power series method for initial value problems.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
José L. López, Ester Pérez Sinusía, Nico M. Temme,