Study of hybrid orthonormal functions method for solving second kind fuzzy Fredholm integral equations

Abstract

Abstract The approximate numerical solution of the linear second kind of fuzzy integral Fredholm equations is discussed in this article. A new approach uses hybrid functions, and some useful properties of these functions are proposed to transform linear second type fuzzy integral Fredholm equations into an algebraic equation. The new approach is a mixture of Bernstein polynomials (BPs) and enhanced block-pulse functions (IBPFs) at interval [ 0 , 1 ) $[0, 1)$ . The approach is appealing and very easy to implement computationally. Some numerical tests show the reliability and exactness of the suggested scheme.

Keywords

• Fuzzy Fredholm integral equation
• Bernstein polynomial
• Improved block-pulse function
• Absolute error
• Accuracy