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Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases. (English) Zbl 1047.65114
Summary: A method based on the tau method with arbitrary bases is developed to find the numerical solution of Fredholm integro-differential equations; the differential part appearing in the equation is replaced by its operational tau representation. Some numerical results are given to demonstrate the superior performance of the tau method, particularly, with the Chebyshev and Legendre bases.

MSC:
65R20 Numerical methods for integral equations
45J05 Integro-ordinary differential equations
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