On the Numerical Integration of Nonlinear Two-Point Boundary Value Problems Using Iterated Deferred Corrections. Part 2: The Development and Analysis of Highly Stable Deferred Correction Formulae

1988 ◽  
Vol 25 (4) ◽  
pp. 862-882 ◽  
Author(s):  
J. R. Cash
Keyword(s):  
Boundary Value Problems ◽  
Numerical Integration ◽  
Boundary Value ◽  
Point Boundary ◽  
Deferred Correction

scholarly journals Improved error estimate and applications of the complete quartic spline

2019 ◽  
Vol 27 (2) ◽  
pp. 71-83
Author(s):  
Alexandru Mihai Bica ◽  
Diana Curilă ◽  
Zoltan Satmari
Keyword(s):  
Error Estimate ◽  
Boundary Value Problems ◽  
Numerical Method ◽  
Numerical Integration ◽  
Error Bound ◽  
Fourth Order ◽  
Boundary Value ◽  
Continuous Functions ◽  
Point Boundary ◽  
Lipschitzian Functions

AbstractIn this paper an improved error bound is obtained for the complete quartic spline with deficiency 2, in the less smooth class of continuous functions. In the case of Lipschitzian functions, the obtained estimate improves the constant from Theorem 3, in J. Approx. Theory 58 (1989) 58-67. Some applications of the complete quartic spline in the numerical integration and in the construction of an iterative numerical method for fourth order two-point boundary value problems with pantograph type delay are presented.

Sign in / Sign up

Export Citation Format

Share Document