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Comment on the paper 'A class of methods based on non-polynomial spline functions for the solution of a special fourth-order boundary-value problems with engineering applications'
- Source :
- Applied Mathematics and Computation. 186:1572-1580
- Publication Year :
- 2007
- Publisher :
- Elsevier BV, 2007.
-
Abstract
- Comment on the paper “A class of methods based on non-polynomial spline functions for the solution of a special fourth-order boundary-value problems with engineering applications” in Applied Mathematics and Computation 174 (2006) 1169–1180. The paper considered a class of two-point boundary-value problems of the form (1) d 4 y d x 4 + f ( x ) y = g ( x ) , a ⩽ x ⩽ b , (2) y ( a ) = A 1 , y ( b ) = A 2 , y ′ ( a ) = B 1 , y ′ ( b ) = B 2 , where f ( x ) and g ( x ) are continuous on [ a , b ], and A i and B i ( i = 1, 2) are finite real constants. Here we correct some mistake in derivation of non-polynomial spline, boundary formulas, truncation errors, convergence analysis and computational experiments.
Details
- ISSN :
- 00963003
- Volume :
- 186
- Database :
- OpenAIRE
- Journal :
- Applied Mathematics and Computation
- Accession number :
- edsair.doi...........ba46aa4265cc80a97b9130092ce031a7