A numerical method based on generalized log orthogonal functions for solving cordial Volterra integral equations of the third kind

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Tayebinejad Saeideh; Mohammadi Fakhrodin

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Journal Paper

Paper Information

Journal: Journal of Advanced Mathematical Modeling Year:2024 | Volume:14 | Issue:2 Page(s): 129-143

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Title

A numerical method based on generalized log orthogonal functions for solving cordial Volterra integral equations of the third kind

Author(s)

Tayebinejad Saeideh | Mohammadi Fakhrodin | Issue Writer Certificate

Keywords

Cordial Volterra integral equations

Generalized log orthogonal functions

Collocation method

Abstract

‎This paper is devoted to solving Cordial Volterra integral equations of the third kind‎. First, ‎generalized log orthogonal functions are introduced and their properties is investigated. ‎Then by using this kind of orthogonal functions as basis function in spectral Collocation method, a numerical method is proposed to solve this kind of integral equations. ‎ ‎The approximation error and convergence analysis of the presented method are investigated‎. In order to verify the efficiency and accuracy of the presented method ‎‎ ‎several numerical examples have been considered‎. ‎A comparison of the obtained results demonstrates that the current method is less expensive and more efficient than some previously proposed methods‎.

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