Abstract

In this study, we propose Alternating Group Explicit (AGE) iterative method to solve the problem of linear fuzzy Fredholm integral equations of the second kind (FFIE-2) based on Trapezoidal quadrature rule. First, we generate a system of linear equations by using approximation equations. Next, we use AGE iterative method to solve the generated linear system of FFIE-2. Then, we illustrate the applicability of AGE iterative method on some numerical examples. Finally, we do the comparison to test the efficiency of AGE with Jacobi and Gauss-Seidel (GS) iterative method based on three parameters: number of iterations, execution time and Hausdorff distance. From our findings, we found that AGE is a better iterative method compared with Jacobi and GS to solve FFIE-2.

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