morgan-voyce polynomial approach for solution of high-order linear differential-difference equations with residual error estimation
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ID: 253780
2016
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Abstract
The main aim of this study is to apply the Morgan-Voyce polynomials for the solution of high-order linear differential difference equations with functional arguments under initial boundary conditions. The technique we have used is essentially based on the truncated Morgan-Voyce series and its matrix representations along with collocation points. Also, by using the Mean-Value Theorem and residual function, an efficient error estimation technique is proposed and some illustrative examples are presented to demonstrate the validity and applicability of the method.
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trkyilmaz2016dzcemorgan-voyce
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| Authors | ;Bengü TÜRKYILMAZ;Burcu GÜRBÜZ;Mehmet SEZER |
| Journal | nicel bilimler dergisi |
| Year | 2016 |
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