Solving system of first kind integral equations via the Chebyshev collocation approach

	Solving system of first kind integral equations via the Chebyshev collocation approach
International Journal of Nonlinear Analysis and Applications
مقاله 10، دوره 14، شماره 9، آذر 2023، صفحه 145-152 اصل مقاله (453.1 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.28019.3782
نویسنده
Leila Torkzadeh^*
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, P. O. Box 35195-363, Semnan, Iran.
چکیده
This paper discusses a numerical method for solving a first-kind Volterra integral equations system. Because of the ill-posedness of these equations, we need to apply an efficient computational method to discrete them to the system of algebraic equations. An expansion method known as the Chebyshev collocation method, based on the Chebyshev polynomials of the third kind, is employed to convert the system of integral equations to the linear algebraic system of equations. By solving the algebraic system, we conclude an approximate solution. Some numerical results support the accuracy and efficiency of the stated method.
کلیدواژه‌ها
System of first-kind Volterra integral equations؛ Chebyshev polynomials of the third-kind؛ Collocation method؛ Absolute error
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