A fourth order multiderivative method for linear second order boundary value problems
- 1 January 1986
- journal article
- research article
- Published by Taylor & Francis in International Journal of Computer Mathematics
- Vol. 20 (2) , 145-155
- https://doi.org/10.1080/00207168608803539
Abstract
Fourth order methods are developed and analysed for the numerical solution of linear second order boundary value problems. The methods are developed by replacing the exponential terms in a three-point recurrence relation by Padé approximants. The derivations of second order and sixth order methods from the recurrence relation are outlined briefly. One method is tested on two problems from the literature, one of which is mildly nonlinear.Keywords
This publication has 8 references indexed in Scilit:
- Collocation with Quadratic and Cubic SplinesIMA Journal of Numerical Analysis, 1982
- Quintic spline solutions of boundary value problemsComputers & Mathematics with Applications, 1980
- A collocation method for two-point boundary value problemsMathematics of Computation, 1975
- A collocation method for boundary value problemsNumerische Mathematik, 1972
- An 0(h6) Finite Difference Analogue for the Numerical Solution of a Two Point Boundary Value ProblemIMA Journal of Applied Mathematics, 1971
- The use of cubic splines in the solution of two-point boundary value problemsThe Computer Journal, 1969
- Cubic spline solutions to two-point boundary value problemsThe Computer Journal, 1969
- Piecewise Cubic Interpolation and Two-Point Boundary ProblemsThe Computer Journal, 1968