Article ID Journal Published Year Pages File Type
4636594 Applied Mathematics and Computation 2007 9 Pages PDF
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)d4ydx4+f(x)y=g(x),a⩽x⩽b,(2)y(a)=A1,y(b)=A2,y′(a)=B1,y′(b)=B2,where f(x) and g(x) are continuous on [a, b], and Ai and Bi (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.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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