• Corpus ID: 37156287

# Application of the Bernstein Polynomials for Solving Volterra Integral Equations with Convolution Kernels

```@inproceedings{Alt2016ApplicationOT,
title={Application of the Bernstein Polynomials for Solving Volterra Integral Equations with Convolution Kernels},
author={A. Alt},
year={2016}
}```
• A. Alt
• Published 2016
• Mathematics
In this article, we consider the second-type linear Volterra integral equations whose kernels based upon the di erence of the arguments. The aim is to convert the integral equation to an algebraic one. This is achieved by approximating functions appearing in the integral equation with the Bernstein polynomials. Since the kernel is of convolution type, the integral is represented as a convolution product. Taylor expansion of kernel along with the properties of convolution are used to represent…
5 Citations

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1 IntroductionPreliminary concept of the integral equation Historical background of the integral equation An illustration from mechanics Classification of integral equations Converting Volterra