TY - JOUR
ID - 2055
TI - Pantic B-spline wavelets and their application for solving linear integral equations
JO - Iranian Journal of Science and Technology (Sciences)
JA - IJSTS
LA - en
SN - 1028-6276
AU - Askari-Hemmat, A.
AU - Rahbani, Z.
AD - Department 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, Iran
AD - Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
Y1 - 2012
PY - 2012
VL - 36
IS - 1
SP - 47
EP - 50
KW - Integral equations
KW - B-spline scaling function
KW - dual functions
KW - wavelets
DO - 10.22099/ijsts.2012.2055
N2 - In 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 usefulness
UR - http://ijsts.shirazu.ac.ir/article_2055.html
L1 - http://ijsts.shirazu.ac.ir/article_2055_0d93e86aa239637c009a7b4d057d2e70.pdf
ER -