Some Comparisons of the Methods Applied to Solving the First-Order Integro-Differential Equations

There are some classes of the methods for solving the initial-value problem of the integro-differential equations of Volterra type. Obviously, each class of these methods has its advantages and disadvantages. Therefore, here we consider a comparison of some known methods by which the region of the a...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2018-10, Vol.423 (1), p.12155
Main Authors: Mehdiyeva, G, Ibrahimov, V, Imanova, M
Format: Article
Language:English
Subjects:
Differential equations
Mathematical analysis
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Summary:There are some classes of the methods for solving the initial-value problem of the integro-differential equations of Volterra type. Obviously, each class of these methods has its advantages and disadvantages. Therefore, here we consider a comparison of some known methods by which the region of the application of the certain methods is determined. The results obtained here make it possible to choose an appropriate method for solving the initial-value problem of the Volterra integro-differential equation.
ISSN:1757-8981
1757-899X
1757-899X
DOI:10.1088/1757-899X/423/1/012155