We have proposed an efficient numerical method to solve a class of mixed Volterra-Fredholm integral
equations (VFIE’s) of the second kind, numerically based on Hybrid Orthonormal Bernstein and BlockPulse
Functions
(OBH).
The
aim
of
this
paper
is
to
apply
OBH
method
to
obtain
approximate
solutions
of
nonlinear
Fuzzy Fredholm Integro-differential Equations. First we introduce properties of Hybrid
Orthonormal Bernstein and Block-Pulse Functions, we used it to transform the integral equations to
the system of linear algebraic equations then an iterative approach is proposed to obtain approximate
solution of class of linear algebraic equations, a numerical examples is presented to illustrate the
proposed method. The error estimates of the proposed method is given. |