 A correction to “Rationalized Haar wavelet bases to approximate solution of nonlinear Fredholm integral equations with error analysis [Applied Mathematics and Computation 265 (2015) 304–312]”Omid Baghani Applied Mathematics and Computation, 2019, vol. 352, issue C, 249-257 Abstract: In the recent paper, “Rationalized Haar wavelet bases to approximate solution of nonlinear Fredholm integral equations with error analysis [Applied Mathematics and Computation 265 (2015) 304–312]”, The authors have approximated the solutions of nonlinear Fredholm integral equations (NFIEs) of the second type by using the successive approximations method. In any stage, the rationalized Haar wavelets (RHWs) and the corresponding operational matrices were applied to approximate the integral operator. In Theorem 4.2, page 307 of the reference [4], the authors introduced an upper bound for the error and explicitly stated that the rate of convergence of ui to u is O(qi), in which i is the number of iterations, q is the contraction constant, u is the exact solution, and ui is the approximate solution in ith iteration. This statement is not true and we prove carefully that the rate of convergence will be O(iqi). Keywords: Nonlinear Fredholm integral equations; Rationalized Haar wavelets; Rate of convergence (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:352:y:2019:i:c:p:249-257 DOI: 10.1016/j.amc.2019.01.033 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
Is your work missing from RePEc? Here is how to contribute.
Questions or problems? Check the EconPapers FAQ or send mail to .
EconPapers is hosted by the
School of Business at Örebro University.