Pantic B-spline wavelets and their application for solving linear integral equations

Document Type: Regular Paper

Authors

1 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

2 Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

Abstract

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

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