**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31203

##### Hybrid Function Method for Solving Nonlinear Fredholm Integral Equations of the Second Kind

**Authors:**
jianhua Hou,
Changqing Yang,
and Beibo Qin

**Abstract:**

A numerical method for solving nonlinear Fredholm integral equations of second kind is proposed. The Fredholm type equations which have many applications in mathematical physics are then considered. The method is based on hybrid function approximations. The properties of hybrid of block-pulse functions and Chebyshev polynomials are presented and are utilized to reduce the computation of nonlinear Fredholm integral equations to a system of nonlinear. Some numerical examples are selected to illustrate the effectiveness and simplicity of the method.

**Keywords:**
Fredholm Integral Equation,
Chebyshev polynomials,
Hybrid functions,
Blockpulse,
product operational matrix

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1087876

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