Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations via Bernoulli Polynomials
Joint Authors
Ezadkhah, M. M.
Shateyi, Stanford
Tohidi, Emran
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-18
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Tohidi, Emran& Ezadkhah, M. M.& Shateyi, Stanford. 2014. Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations via Bernoulli Polynomials. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1033564
Modern Language Association (MLA)
Tohidi, Emran…[et al.]. Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations via Bernoulli Polynomials. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1033564
American Medical Association (AMA)
Tohidi, Emran& Ezadkhah, M. M.& Shateyi, Stanford. Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations via Bernoulli Polynomials. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1033564
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033564