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Numerical approach for solving neutral differential equation with deviating argument

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Abstract

In this article, numerical solution of a neutral differential equation with deviating argument by means of the Sinc scheme and fixed point theorem is considered. Properties of the DE-Sinc and SE-Sinc quadratures are utilized to reduce the computation of the neutral differential equations to an iterative technique. Then convergence of this technique is discussed by preparing a theorem. To guarantee the analytical results and show the efficiency and accuracy of the present method, some examples are presented.

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Authors and Affiliations

  1. School of Mathematics, Shahid Rajaee Teacher Training University Lavizan, Tehran, 16788, Iran

    H. Mesgarani, R. Mollapourasl & A. Ostadi

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  1. H. Mesgarani
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  2. R. Mollapourasl
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  3. A. Ostadi
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Mesgarani, H., Mollapourasl, R. & Ostadi, A. Numerical approach for solving neutral differential equation with deviating argument. Comput. Math. and Math. Phys. 55, 969–982 (2015). https://doi.org/10.1134/S0965542515060093

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