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This paper presents and studies two numerical approximations for the generalized Abel’s integral equations (GAIEs). Two numerical schemes such as linear scheme and quadratic scheme are proposed to solve GAIEs numerically. The error convergence of the presented schemes is also established where it is observed that the quadratic scheme achieves the convergence order up to 3. Some examples of GAIEs from...
The purpose of this paper is to present an approximate method for solving the Generalized Abel’s integral equations. The approximate method is based on the collocation method for solving Volterra integral equations. Generalized Abel’s integral equations could be considered as a more general form of Volterra integral equations. Collocation method in sense of Atkinson’s approach (Atkinson, 2016) is...
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