Geodesic
Iterative Continuous Collocation Method for Solving Nonlinear Volterra Integral Equations
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 4, p. 635 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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.
Classification : 45L05 65R20
Keywords: Nonlinear Volterra integral equation, continuous collocation method, iterative method, Lagrange polynomials 
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     author = {K. Rouibah and A. Bellour and P. Lima and E. Rawashdeh},
     title = {Iterative {Continuous} {Collocation} {Method} for {Solving} {Nonlinear} {Volterra} {Integral} {Equations}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {635 },
     year = {2022},
     volume = {46},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2022_46_4_a8/}
}
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K. Rouibah; A. Bellour; P. Lima; E. Rawashdeh. Iterative Continuous Collocation Method for Solving Nonlinear Volterra Integral Equations. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 4, p. 635 . http://geodesic.mathdoc.fr/item/KJM_2022_46_4_a8/