A new study on first-order fuzzy Fredholm-Volterra integro-differential equations by Jacobi polynomials and collocation methods

作者：Behzadi Sh S^*

来源：Soft Computing, 2015, 19(2): 421-429.

DOI：10.1007/s00500-014-1261-5

• Jacobi polynomials
• Collocation method
• Fuzzy integro-differential equations
• Volterra and Fredholm integral equations
• Generalized differentiability

In this paper, the Jacobi polynomials and the collocation methods for solving first-order fuzzy linear Fredholm-Volterra integro-differential equation of the second kind under the generalized -differentiability are introduced. The existence and uniqueness of the solution and convergence of the proposed methods are proved in details. Finally an example shows the accuracy of these methods.

• 出版日期2015-2