Comparison Chebyshev wavelets method with BPFs method for solving Abel’s integral equation
By Saeed Sohrabi. 2011
71 citations recorded by the source corpus.
The aim of this paper is to present an efficient numerical procedure for solving the Abel’s integral equation of the first and second kind and compare it with block-pulse functions (BPFs) method. The proposed method is based on Chebyshev wavelets approximation. This method transforms the integral equation into the matrix equation. The advantages of Chebyshev wavelets are that the values of μk and M are adjustable as well as it can yield more accurate numerical solutions than piecewise constant orthogonal functions on the solution of integral equations. The uniform convergence theorem and accuracy estimation are derived and numerical examples show the validity and the wide applicability of the Chebyshev wavelets approach.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/c94dc958277fd9f728db810cb97574349002609c
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In Applied Mathematics
In Modeling and Simulation
In Numerical Analysis
Citations in the corpus
- Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost (2020, background): “Depending on the structure of the orthogonal polynomials, they are classified into three categories [8].”