Numerical solution of fuzzy Fredholm integro-differential equations by polynomial collocation method

In this article, a polynomial collocation method for the numerical solution of fuzzy Fredholm integro-differential equation has been presented. The function space and the operator properties have been developed, which helps to develop the convergence analysis of this method. The convergence analysis has been given in the form of different theorems and lemmas. In the numerical section, the algorithm and flowchart of the polynomial collocation method have been presented. Further, to demonstrate the performance of the proposed method, some numerical examples have been examined by giving different types of error analysis in the form of tables and figures. In addition, some existing methods also have been listed and compared with the proposed method to show its effectiveness and superiority. One of the test problems shows that the polynomial collocation method gives better results than Adomian decomposition method and Homotopy perturbation method.