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A New Numerical Technique for Solving Volterra Integral Equations Using Chebyshev Spectral Method
Author(s) -
Ahmed A. Khidir
Publication year - 2021
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2021/9230714
Subject(s) - volterra integral equation , chebyshev filter , integral equation , algebraic equation , mathematics , collocation method , chebyshev polynomials , spectral method , collocation (remote sensing) , chebyshev nodes , chebyshev iteration , volterra equations , mathematical analysis , computer science , nonlinear system , differential equation , ordinary differential equation , physics , quantum mechanics , machine learning
In this work, we propose a new method for solving Volterra integral equations. The technique is based on the Chebyshev spectral collocation method. The application of the proposed method leads Volterra integral equation to a system of algebraic equations that are easy to solve. Some examples are presented and compared with some methods in the literature to illustrate the ability of this technique. The results demonstrate that the new method is more efficient, convergent, and accurate to the exact solution.

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