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In this paper the orthogonal triangular function (TF) based method is first applied to transform the Fredholm integral equations and Fredholm system of integral equations to a cou pled system of matrix algebraic equations. The obtained sys tem is a variant of coupled Sylvester matrix equations. A finite iter a ive algorithm is then applied to solve this system to obtai n he coefficients used to get the form of approximate solution of the unknown fu nctions of the integral problems. Some numerical examples a r olved to illustrate the accuracy and the efficiency of the proposed hybrid method. The obtained numerical results are compared with other numerical methods and the exact solutions.

An efficient hybrid method for solving fredholm integral equations using triangular functions