On some 4-point spline collocation methods for solving second-order initial value problems

Applied Numerical Mathematics

Volumn 38, Issue 1-2, 2001, Pages 223-236

  El Hawary, H M ^a   Mahmoud, S M ^a  

^a Assiut University   (Egypt)

Author keywords

Absolute stability; Consistency; Convergence; Second order initial value problems; Spline functions; Stiff differential equation

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

FOUR-POINT SPLINE COLLOCATION METHODS;

INITIAL VALUE PROBLEMS;

EID: 0035400196     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(01)00041-1     Document Type: Article

References (15)

1. Double-stride methods for oscillatory problems
2. Collocation at Gaussian points
3. Discrete Galerkin and related one-step methods for ordinary differential equation
4. Stability of collocation methods for the numerical solution of y″=f(x,y)
5. Approximate solution of the differential equation y″=f(x,y) with spline functions
6. Splines, and collocation for ordinary initial value problems
7. On some 3-point spline collocation methods for solving ordinary initial value problems
8. 3-spline collocation method for solving second-order initial value problems
9. A deficient spline function approximation to systems of first order differential equations, II
10. Numerical solution of general nth order differential equations via splines
11. A continuous implicit Nyström method for solving ordinary second order initial value problems
12. 2-spline integration methods for solving second-order ordinary initial value problems