Stabilized cubic c¹-spline collocation method for solving first-order ordinary initial value problems

References

• Chawla , M. M. , Al-Zanaidi , M. A. and Al-Sahhar , M. S. 1994 . Stabilized fourth order extended methods for the numerical solution of ODEs . Inter. J. Computer Math. , 52 : 99 – 107 .
   Web of Science ®Google Scholar
• Lambert , J. D. 1973 . Computational Methods in Ordinary Differential Equations , London : John Wiley .
   Google Scholar
• Kirchgraber , U. 1986 . Multi-step methods are essentially one-step methods . Numer. Math. , 48 : 85 – 90 .
   Google Scholar
• Norsett , S. P. 1984 . “ Splines and collocation for ordinary initial value problems ” . In Approximation Theory and Spline Functions , Edited by: Singh , S. P. 397 – 417 . Dordrecht : Reidel .
   Google Scholar
• Sallam , S. and Naim Anwar , M. 1999 . One parameter quadratic C 1-spline collococation method for solving first order ordinary initial value problems . Appl. Math. Modelling , 23 : 153 – 160 .
   Web of Science ®Google Scholar
• Usmani , R. A. and Agarwal , R. P. 1985 . An A-stable extended trapezoidal rule for the numerical integration of ordinary differential equations . Comp. and Maths. With Applic. , 11 : 1183 – 1191 .
   Web of Science ®Google Scholar