The main aim of this
study is to apply the Gegenbauer 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 Gegenbauer 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.
Gegenbauer polynomials Differential- difference equations Collocation method Matrix method Error estimation Residual function
Subjects | Engineering |
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Journal Section | Articles |
Authors | |
Publication Date | March 29, 2017 |
Published in Issue | Year 2017 Volume: 13 Issue: 1 |