A new computational method based on Laguerre polynomials for solving certain nonlinear partial integro differential equations

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Date

2017

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Publisher

Polish Academy of Sciences

Abstract

In this study, we consider some nonlinear partial integro-differential equations. Most of these equations are used as mathematical models in many problems of physics, biology, chemistry, engineering, and in other areas. Our main purpose is to propose a new numerical method based on the Laguerre and Taylor polynomials, called matrix collocation method, for the numerical solution of the mentioned nonlinear equations under the initial or boundary conditions. To show the effectiveness of this approach, some examples along with error estimations are illustrated by tables and figures.

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Keywords

Boundary conditions , Differential equations , Integrodifferential equations , Numerical methods , Polynomials , Collocation method , Laguerre , Laguerre polynomial , Numerical solution , Partial integro-differential equations , Taylor polynomials , Nonlinear equations

Citation

URI

http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/15294

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