Iterative Continuous Collocation Method for Solving Nonlinear Volterra Integral Equations

This paper is concerned with the numerical solution of nonlinear Volterra integral equations. The main purpose of this work is to provide a new numerical approach based on the use of continuous collocation Lagrange polynomials for the numerical solution of nonlinear Volterra integral equations. It i...

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Bibliographic Details
Published in:Kragujevac Journal of Mathematics 2022-01, Vol.46 (4), p.635-648
Main Authors: ROUIBAH, K., BELLOUR, A., LIMA, P., RAWASHDEH, E.
Format: Article
Language:English
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Summary:This paper is concerned with the numerical solution of nonlinear Volterra integral equations. The main purpose of this work is to provide a new numerical approach based on the use of continuous collocation Lagrange polynomials for the numerical solution of nonlinear Volterra integral equations. It is shown that this method is convergent. The results are compared with the results obtained by other well-known numerical methods to prove the effectiveness of the presented algorithm.
ISSN:1450-9628
2406-3045
DOI:10.46793/KgJMat2204.635R