Numerical solution of nonlinear fractional Volterra integro-differential equations via Bernoulli polynomials
type: Item
instance of: scholarly article
title: Numerical solution of nonlinear fractional Volterra integro-differential equations via Bernoulli polynomials
zbMATH Open document ID: 1470.65145
DOI: 10.1155/2014/162896
author: M. M. Ezadkhah
author: S. Shateyi
author: Emran Tohidi
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper presents a computational approach for solving a class of nonlinear Volterra integro-differential equations of fractional order which is based on the Bernoulli polynomials approximation. Our method consists of reducing the main problems to the solution of algebraic equations systems by expanding the required approximate solutions as the linear combination of the Bernoulli polynomials. Several examples are given and the numerical results are shown to demonstrate the efficiency of the proposed method.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 7021839
Wikidata QID: Q59035632
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/162896
OpenAlex ID: W2082998953
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description: scientific article; zbMATH DE number 7021839