Numerical solution of linear Volterra integral equations system of the second kind

There are several numerical approaches for solving linear Volterra integral equations system of the second kind. In this paper, we have presented a method for numerical solution of linear Volterra integral equations system based on the power series method, the major advantage of which is being deriv...

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Vydáno v:Applied mathematics and computation Ročník 201; číslo 1; s. 547 - 552
Hlavní autoři: Tahmasbi, Ali, Fard, Omid S.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York, NY Elsevier Inc 15.07.2008
Elsevier
Témata:
Algebra
Algebraic geometry
Exact sciences and technology
Integral equations
Linear Volterra integral equations system
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Numerical linear algebra
Numerical method
Power series method
Sciences and techniques of general use
Linear Volterra integral equations system
Power series method
Numerical method
Polynomial
Numerical integration
Numerical linear algebra
Power series
Exact solution
Numerical approximation
Direct method
Numerical analysis
Linear system
Linear equation
Matrix inversion
Applied mathematics
Numerical solution
Analytical method
Software
Analytical solution
Volterra integral equations
ISSN:0096-3003, 1873-5649
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Popis
Shrnutí:There are several numerical approaches for solving linear Volterra integral equations system of the second kind. In this paper, we have presented a method for numerical solution of linear Volterra integral equations system based on the power series method, the major advantage of which is being derivative-free. Also, this method reproduces the analytical solution when the exact solutions are polynomial. The numerical results prove that the presented method is very effective and simple. The software used for the numerical calculations in this study was MATLAB ®7.4.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2007.12.041