透過您的圖書館登入
IP:3.148.206.183
  • 期刊

A Hybrib Method for Solving Nonlinear Fuzzy Volterra Integro-Differential Equations

摘要


In this paper, a hybrid method for solving nonlinear fuzzy Volterra integro‐differential equations with degenerate kernel is introduced. The proposed method combines Laplace transform with Adomian Decomposition Method, which is abbreviated as LADM. The nonlinear fuzzy Volterra integro‐differential equation is converted into two crisp integral equations by using fuzzy numbers in the form of parameters. Then the Laplace transform is used to process the differential part of the equation, and the nonlinear part is dealed with the Adomian Decomposition Method. The numerical solution of the equation is obtained. Some examples are illustrated to the robustness, efficiency and the applicability of the proposed method.

參考文獻


H. Abel. Solution de quelques problemes a l´aide d´ıntegrales definites, Christiania Grondahl, Norway, Vol. 1(1881), p. 16-18.
E. Babolian, H. S. Goghary, S. Abbasbandy. Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method, Applied Mathematics and Computation, Vol. 161(2005) No. 3, p. 733-744.
H. Attari, A. Yazdani. A computational method for fuzzy Volterra-Fredholm integral equations, Fuzzy Information and Engineering, Vol. 2(2011) No. 3, p. 147-156.
S. S. Behzadi. Solving fuzzy nonlinear Volterra-Fredholm integral equations by using homotopy analysis and Adomian decomposition methods, Journal of Fuzzy Set Valued Analysis, Vol. 2011(2011), p. 1-13.
A. A. Hamoud, A. D.Azeez, K. P. Ghadle. A study of some iterative methods for solving fuzzy Volterra-Fredholm integral equations, Indonesian Journal of Electrical Engineering and Computer Science, Vol. 11(2018) No. 3, p. 1228-1235.

延伸閱讀