### Iterative Continuous Collocation Method for Solving Nonlinear Volterra Integral Equations

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**Authors:**K. ROUIBAH, A. BELLOUR, P. LIMA AND E. RAWASHDEH

**DOI:**10.46793/KgJMat2204.635R

**Abstract:**

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.

**Keywords:**

Nonlinear Volterra integral equation, continuous collocation method, iterative method, Lagrange polynomials.

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