A Piecewise Approximate Method for Solving Second Order Fuzzy Differential Equations Under Generalized Differentiability
Subject Areas : International Journal of Industrial Mathematics
1 - Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran.
2 - Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran.
Keywords: Generalized differentiability, Numerical Solution, Fuzzy Differential Equations,
Abstract :
In this paper a numerical method for solving second order fuzzy differential equations under generalized differentiability is proposed. This method is based on the interpolating a solution by piecewise polynomial of degree 4 in the range of solution. Moreover we investigate the existence, uniqueness and convergence of approximate solutions. Finally the accuracy of piecewise approximate method by some examples are shown.