IMPROVED ERROR-BOUNDS FOR FREEZING SOLUTIONS OF LINEAR BOUNDARY-VALUE-PROBLEMS

For the error in the freezing solutions of linear boundary value probl ems we obtain a bound which is sharper than that obtained recently by Shahruz and Schwartz [Appl. Math. Comput. 60 (1994) 285; Comput. Math. Appl. 28 (1994) 75]. A different freezing technique, ''global freezin g'', is also proposed. It is shown that this new technique is easy to implement for numerical computation of the solutions. Moreover, the co rresponding solution has an error bound similar to that of the freezin g method. (C) 1998 Elsevier Science Inc. All rights reserved.