Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method

摘要

A Taylor matrix method is developed to find an approximatesolution of the most general linear Fredholmintegrodifferential-difference equations with variablecoefficients under the mixed conditions in terms of Taylorpolynomials. This method transforms the given general linearFredholm integrodifferential-difference equations and the mixedconditions to matrix equations with unknown Taylor coefficients.By means of the obtained matrix equations, the Taylor coefficientscan be easily computed. Hence, the finite Taylor series approachis obtained. Also, examples are presented and the results arediscussed.