Approximations to the solution of linear Fredholm integrodifferential-difference equation of high order |
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| Authors: | Mustafa Gülsu Mehmet Sezer |
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| Institution: | Department of Mathematics, Faculty of Science, Mugla University, Mugla, Turkey |
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| Abstract: | There are few techniques available to numerically solve linear Fredholm integrodifferential-difference equation of high-order. In this paper we show that the Taylor matrix method is a very effective tool in numerically solving such problems. This method transforms the equation and the given conditions into the matrix equations. By merging these results, a new matrix equation which corresponds to a system of linear algebraic equation is obtained. The solution of this system yields the Taylor coefficients of the solution function. Some numerical results are also given to illustrate the efficiency of the method. Moreover, this method is valid for the differential, difference, differential-difference and Fredholm integral equations. In some numerical examples, MAPLE modules are designed for the purpose of testing and using the method. |
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| Keywords: | 45A05 45B05 45J05 |
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