Numerical generated basis functions for elliptic boundary-value problems

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)

Uses Software

LINPACK
DEPAC

Cites Work

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The numerical solution of elliptic and parabolic partial differential equations with boundary singularities
On the use of singular functions with finite element approximations
Bessel difference systems of fractional order
On the construction of symmetric difference operators for square and cubic lattices
Difference methods for solving convection-diffusion equations
Convergence of a boundary value difference equation for computing periodic solutions of neutral delay differential equations
Finite Difference Methods for Singular Two-Point Boundary Value Problems
Numerical Methods for Stiff Two-Point Boundary Value Problems
Uniform High-Order Difference Schemes for a Singularly Perturbed Two-Point Boundary Value Problem
A High-Order Method for Stiff Boundary Value Problems with Turning Points
A High-Order Difference Method for Differential Equations
Finite Difference Collocation Methods for Nonlinear Two Point Boundary Value Problems
Software for Nonlinear Partial Differential Equations
The Treatment of Boundary Singularities in Axially Symmetric Problems Containing Discs
High accuracy finite difference approximation to solutions of elliptic partial differential equations
The Construction of Finite Difference Approximations to Ordinary Differential Equations
Boundary Singularities in Linear Elliptic Differential Equations
Numerical treatment of biharmonic boundary value problems with re-entrant boundaries
Minimising Truncation Error in Finite Difference Approximations to Ordinary Differential Equations
Approximation of the Bessel Eigenvalue Problem by Finite Differences

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