Continuous finite difference approximations for solving differential equations. (English) Zbl 0940.65077

The authors report continuous finite difference formulae to treat numerically both initial and boundary value problems for ordinary differential equations, without implementing shooting procedures for the latter. Error estimates are derived and computed results illustrate the feasibility of the methods proposed.


65L10 Numerical solution of boundary value problems involving ordinary differential equations
65L12 Finite difference and finite volume methods for ordinary differential equations
65L70 Error bounds for numerical methods for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
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