Homotopy Analysis Method to Solve Two-Dimensional Nonlinear Volterra-Fredholm Fuzzy Integral Equations

Homotopy Analysis Method to Solve Two-Dimensional Nonlinear Volterra-Fredholm Fuzzy Integral Equations

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The main goal of the paper is to present an approximate method for solving of a two-dimensional nonlinear Volterra-Fredholm fuzzy integral equation (2D-NVFFIE).It is applied the homotopy analysis method (HAM).The studied equation is converted sophie allport zebra to a nonlinear system of Volterra-Fredholm integral equations in a crisp case.

Approximate solutions of this system are obtained by the help with HAM and hence an approximation for the fuzzy solution of the nonlinear Volterra-Fredholm fuzzy integral equation is presented.The convergence of the proposed method is proved and the error estimate between the exact and the approximate solution is obtained.The validity and applicability flex 4 heartworm test of the proposed method is illustrated on a numerical example.