SpringerIranian Journal of Science and Technology (Sciences)1028-627636120120206Pantic B-spline wavelets and their application for solving linear integral equations4750205510.22099/ijsts.2012.2055ENA.Askari-HemmatDepartment of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Department of Mathematics, Kerman Graduate University of Technology, Kerman, Iran
International Center for Science, High Technology and Environmental Sciences, Kerman, IranZ.RahbaniDepartment of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, IranJournal Article20110111In this work we deal with the question: how can one improve the approximation level for some nonlinear integral equations? Good candidates for this aim are semi orthogonal B-spline scaling functions and their duals. Although there are different works in this area, only B-spline of degree at most 2 are used for this approximation. Here we compute B-spline scaling functions of degree 4 and their duals, then we will show that, by using them, one can have better approximation results for the solution of integral equations in comparison with less degrees or other kinds of scaling functions. Some numerical examples show their attractiveness and usefulnesshttp://ijsts.shirazu.ac.ir/article_2055_0d93e86aa239637c009a7b4d057d2e70.pdf