A Fourth Order Accurate Cubic Spline Alternating Group Explicit Method For Non-Linear Singular Two Point Boundary Value Problems*

References

• Keller , H. B. 1968 . Numerical Methods for Two Point Boundary Value Problem , Blaisdell Pub. Co. .
   Google Scholar
• Bickley , W. G. 1968 . Piecewise cubic interpolation and two point boundary value problems . Compta. J. , 11 : 206 – 208 .
   Web of Science ®Google Scholar
• Fyfe , D. J. 1969 . The use of cubic splines in the solution of two point boundary value problems . Comput. J. , 12 : 188 – 192 .
   Web of Science ®Google Scholar
• Albasiny , E. L. and Hoskins , W. D. 1972 . Increased accuracy cubic spline solutions to two point boundary value problems . J. Inst. Maths. Applies. , 9 : 47 – 55 .
   Google Scholar
• Jain , M. K. and Aziz , T. 1983 . Cubic spline solution of two point boundary value problems with significant first derivatives . Comput. Methods. Appl. Mech. Engg. , 39 : 83 – 91 .
   Web of Science ®Google Scholar
• Chawla , M. M. and Subramanian , R. 1988 . A new spline method fin singular two point boundary value problems . Int. J. Computer Math. , 24 : 291 – 310 .
   Web of Science ®Google Scholar
• Chawla , M. M. , Subramanian , R. and Sathi , H. L. 1988 . A fourth order spline method for singular two point boundary value problems . J. Camp. Appl. Math. , 21 : 189 – 202 .
   Web of Science ®Google Scholar
• Evans , D. J. 1985 . Group explicit methods for solving large linear systems . Int. J. Computer Math. , 17 : 81 – 108 .
   Web of Science ®Google Scholar
• Evans , D. J. 1999 . Iterative methods for solving non-linear two point boundary value problems . Int. J. Computer Math. , 72 : 395 – 401 .
   Web of Science ®Google Scholar
• Sukon , K. S. and Evans , D. J. 1996 . Two parameter alternating group explicit (TAGE} method for the solution of tri-diagonal linear system of equations . Int. J. Computer Math. , 60 : 265 – 278 .
   Web of Science ®Google Scholar